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39396987996804 = 2232292360732
BaseRepresentation
bin10001111010100110100110…
…11110011000101010000100
312011111022111211110100012100
420331103103132120222010
520130440012411344204
6215442420524152100
711204224042431204
oct1075232336305204
9164438454410170
1039396987996804
111160a194712a39
124503497698630
1318ca173912459
149a2b781c6404
15484c15738a39
hex23d4d3798a84

39396987996804 has 81 divisors (see below), whose sum is σ = 103142133459183. Its totient is φ = 12679138894464.

The previous prime is 39396987996761. The next prime is 39396987996829. The reversal of 39396987996804 is 40869978969393.

The square root of 39396987996804 is 6276702.

It is a perfect power (a square), and thus also a powerful number.

39396987996804 is a `hidden beast` number, since 3 + 9 + 396 + 98 + 79 + 9 + 68 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9880020562500 + 29516967434304 = 3143250^2 + 5432952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1092128112 + ... + 1092164184.

Almost surely, 239396987996804 is an apocalyptic number.

39396987996804 is the 6276702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39396987996804

39396987996804 is an abundant number, since it is smaller than the sum of its proper divisors (63745145462379).

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

39396987996804 is an frugal number, since it uses more digits than its factorization.

39396987996804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72214 (or 36107 counting only the distinct ones).

The product of its (nonzero) digits is 34284321792, while the sum is 90.

The spelling of 39396987996804 in words is "thirty-nine trillion, three hundred ninety-six billion, nine hundred eighty-seven million, nine hundred ninety-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 30276 36073 72146 108219 144292 216438 324657 432876 649314 1046117 1298628 2092234 3138351 4184468 6276702 9415053 12553404 18830106 30337393 37660212 60674786 91012179 121349572 182024358 273036537 364048716 546073074 1092146148 1301261329 2602522658 3903783987 5205045316 7807567974 11711351961 15615135948 23422703922 37736578541 46845407844 75473157082 113209735623 150946314164 226419471246 339629206869 452838942492 679258413738 1094360777689 1358516827476 2188721555378 3283082333067 4377443110756 6566164666134 9849246999201 13132329332268 19698493998402 39396987996804