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73838617332816 = 2437745129493731
BaseRepresentation
bin10000110010011111100100…
…100011101000110001010000
3100200102220101012100112221010
4100302133210203220301100
534134232442014122231
6421012554214530520
721360443525430240
oct2062374443506120
9320386335315833
1073838617332816
1121588866574286
128346503666a40
133227c4ac7545b
141433b457b1b20
15880aa2944546
hex4327e48e8c50

73838617332816 has 80 divisors (see below), whose sum is σ = 218028992537088. Its totient is φ = 21093915696000.

The previous prime is 73838617332811. The next prime is 73838617332829. The reversal of 73838617332816 is 61823371683837.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73838617332811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12243330 + ... + 17250401.

Almost surely, 273838617332816 is an apocalyptic number.

It is an amenable number.

73838617332816 is an abundant number, since it is smaller than the sum of its proper divisors (144190375204272).

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

73838617332816 is a wasteful number, since it uses less digits than its factorization.

73838617332816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29501200 (or 29501194 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 73838617332816 in words is "seventy-three trillion, eight hundred thirty-eight billion, six hundred seventeen million, three hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 7451 14902 22353 29804 44706 52157 59608 89412 104314 119216 156471 178824 208628 312942 357648 417256 625884 834512 1251768 2503536 29493731 58987462 88481193 117974924 176962386 206456117 235949848 353924772 412912234 471899696 619368351 707849544 825824468 1238736702 1415699088 1651648936 2477473404 3303297872 4954946808 9909893616 219757789681 439515579362 659273369043 879031158724 1318546738086 1538304527767 1758062317448 2637093476172 3076609055534 3516124634896 4614913583301 5274186952344 6153218111068 9229827166602 10548373904688 12306436222136 18459654333204 24612872444272 36919308666408 73838617332816