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332433254102004 = 2232117286911520371
BaseRepresentation
bin100101110010110001010011…
…0000001011011001111110100
31121121001022100001111222102200
41023211202212001123033310
5322033041301022231004
63135005421215304500
7130010336636605146
oct11345424601331764
91547038301458380
10332433254102004
1196a18173472790
123134b96021b130
13113654240108a3
145c13bd910cc96
152867542671239
hex12e58a605b3f4

332433254102004 has 72 divisors (see below), whose sum is σ = 916722542342880. Its totient is φ = 100735958539200.

The previous prime is 332433254101987. The next prime is 332433254102017. The reversal of 332433254102004 is 400201452334233.

332433254102004 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 3 + 32 + 5 + 410 + 200 + 4 = 666.

It is a super-2 number, since 2×3324332541020042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 332433254102004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23095939 + ... + 34616309.

It is an arithmetic number, because the mean of its divisors is an integer number (12732257532540).

Almost surely, 2332433254102004 is an apocalyptic number.

It is an amenable number.

332433254102004 is an abundant number, since it is smaller than the sum of its proper divisors (584289288240876).

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

332433254102004 is a wasteful number, since it uses less digits than its factorization.

332433254102004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11593261 (or 11593256 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 332433254102004 in words is "three hundred thirty-two trillion, four hundred thirty-three billion, two hundred fifty-four million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 72869 145738 218607 291476 437214 655821 801559 874428 1311642 1603118 2404677 2623284 3206236 4809354 7214031 9618708 11520371 14428062 23040742 28856124 34561113 46081484 69122226 103683339 126724081 138244452 207366678 253448162 380172243 414733356 506896324 760344486 1140516729 1520688972 2281033458 4562066916 839477914399 1678955828798 2518433743197 3357911657596 5036867486394 7555301229591 9234257058389 10073734972788 15110602459182 18468514116778 27702771175167 30221204918364 36937028233556 55405542350334 83108313525501 110811084700668 166216627051002 332433254102004