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412541134520 = 23517653929063
BaseRepresentation
bin1100000000011010101…
…11100010011010111000
31110102211200221000100112
412000031113202122320
523224341012301040
6513304020123452
741543103533264
oct6001527423270
91412750830315
10412541134520
11149a59796389
1267b53236588
132cb9692acb8
1415d77a030a4
15aae790a365
hex600d5e26b8

412541134520 has 64 divisors (see below), whose sum is σ = 984324726720. Its totient is φ = 155071596544.

The previous prime is 412541134519. The next prime is 412541134553. The reversal of 412541134520 is 25431145214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20492 + ... + 908571.

It is an arithmetic number, because the mean of its divisors is an integer number (15380073855).

Almost surely, 2412541134520 is an apocalyptic number.

412541134520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412541134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492162363360).

412541134520 is an abundant number, since it is smaller than the sum of its proper divisors (571783592200).

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

412541134520 is a wasteful number, since it uses less digits than its factorization.

412541134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929744 (or 929740 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 412541134520 its reverse (25431145214), we get a palindrome (437972279734).

The spelling of 412541134520 in words is "four hundred twelve billion, five hundred forty-one million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 653 680 1306 2612 3265 5224 6530 11101 13060 22202 26120 44404 55505 88808 111010 222020 444040 929063 1858126 3716252 4645315 7432504 9290630 15794071 18581260 31588142 37162520 63176284 78970355 126352568 157940710 315881420 606678139 631762840 1213356278 2426712556 3033390695 4853425112 6066781390 10313528363 12133562780 20627056726 24267125560 41254113452 51567641815 82508226904 103135283630 206270567260 412541134520