Search a number
-
+
528994121400 = 2332522910133987
BaseRepresentation
bin1111011001010101000…
…00011011011010111000
31212120102111202200120200
413230222200123122320
532131334443341100
61043003323522200
753134652561463
oct7545240333270
91776374680520
10528994121400
11194388432aa8
1286633089360
133ab64cc8024
141b863c302da
15db612b8e00
hex7b2a81b6b8

528994121400 has 144 divisors (see below), whose sum is σ = 1837798723800. Its totient is φ = 136200771840.

The previous prime is 528994121347. The next prime is 528994121413. The reversal of 528994121400 is 4121499825.

It is a happy number.

528994121400 is a `hidden beast` number, since 5 + 2 + 8 + 99 + 412 + 140 + 0 = 666.

It is a super-3 number, since 3×5289941214003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5014794 + ... + 5119193.

Almost surely, 2528994121400 is an apocalyptic number.

528994121400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528994121400 is an abundant number, since it is smaller than the sum of its proper divisors (1308804602400).

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

528994121400 is a wasteful number, since it uses less digits than its factorization.

528994121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134038 (or 10134026 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 528994121400 in words is "five hundred twenty-eight billion, nine hundred ninety-four million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 2088 2175 2610 2900 3480 4350 5220 5800 6525 8700 10440 13050 17400 26100 52200 10133987 20267974 30401961 40535948 50669935 60803922 81071896 91205883 101339870 121607844 152009805 182411766 202679740 243215688 253349675 293885623 304019610 364823532 405359480 456029415 506699350 587771246 608039220 729647064 760049025 881656869 912058830 1013398700 1175542492 1216078440 1469428115 1520098050 1763313738 1824117660 2026797400 2280147075 2351084984 2644970607 2938856230 3040196100 3526627476 3648235320 4408284345 4560294150 5289941214 5877712460 6080392200 7053254952 7347140575 8816568690 9120588300 10579882428 11755424920 13224853035 14694281150 17633137380 18241176600 21159764856 22041421725 26449706070 29388562300 35266274760 44082843450 52899412140 58777124600 66124265175 88165686900 105798824280 132248530350 176331373800 264497060700 528994121400