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10150553045200 = 24521710114779489
BaseRepresentation
bin1001001110110101110000…
…0110111100100011010000
31022221101100111100101002111
42103231130012330203100
52312301313034421300
633331033311155104
72065232111202241
oct223553406744320
938841314311074
1010150553045200
11326390962a217
12117b2b3815a94
13588268173259
1427140a122cc8
1512908c3679ba
hex93b5c1bc8d0

10150553045200 has 120 divisors (see below), whose sum is σ = 26076873038040. Its totient is φ = 3783548928000.

The previous prime is 10150553045177. The next prime is 10150553045203. The reversal of 10150553045200 is 254035505101.

It can be written as a sum of positive squares in 12 ways, for example, as 10175160384 + 10140377884816 = 100872^2 + 3184396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10150553045203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6702945 + ... + 8076544.

It is an arithmetic number, because the mean of its divisors is an integer number (217307275317).

Almost surely, 210150553045200 is an apocalyptic number.

10150553045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10150553045200 is an abundant number, since it is smaller than the sum of its proper divisors (15926319992840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10150553045200 is a wasteful number, since it uses less digits than its factorization.

10150553045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779625 (or 14779614 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 10150553045200 in words is "ten trillion, one hundred fifty billion, five hundred fifty-three million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 101 136 170 200 202 272 340 400 404 425 505 680 808 850 1010 1360 1616 1700 1717 2020 2525 3400 3434 4040 5050 6800 6868 8080 8585 10100 13736 17170 20200 27472 34340 40400 42925 68680 85850 137360 171700 343400 686800 14779489 29558978 59117956 73897445 118235912 147794890 236471824 251251313 295589780 369487225 502502626 591179560 738974450 1005005252 1182359120 1256256565 1477948900 1492728389 2010010504 2512513130 2955897800 2985456778 4020021008 5025026260 5911795600 5970913556 6281282825 7463641945 10050052520 11941827112 12562565650 14927283890 20100105040 23883654224 25125131300 25376382613 29854567780 37318209725 50250262600 50752765226 59709135560 74636419450 100500525200 101505530452 119418271120 126881913065 149272838900 203011060904 253763826130 298545677800 406022121808 507527652260 597091355600 634409565325 1015055304520 1268819130650 2030110609040 2537638261300 5075276522600 10150553045200