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94087131713800 = 23522919018533361
BaseRepresentation
bin10101011001001001011110…
…000100000101000100001000
3110100010122022222110122112121
4111121021132010011010020
544313010421204320200
6532035010454421024
725550366556031141
oct2531113604050410
9410118288418477
1094087131713800
1127a85146007a55
12a676872061774
1340664bc5bc764
141933bad002ac8
15ad264ee8ae1a
hex55925e105108

94087131713800 has 96 divisors (see below), whose sum is σ = 226414840609800. Its totient is φ = 36317980160000.

The previous prime is 94087131713749. The next prime is 94087131713801. The reversal of 94087131713800 is 831713178049.

It can be written as a sum of positive squares in 12 ways, for example, as 119290084 + 94087012423716 = 10922^2 + 9699846^2 .

It is a super-3 number, since 3×940871317138003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (94087131713801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6759120 + ... + 15292480.

Almost surely, 294087131713800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94087131713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113207420304900).

94087131713800 is an abundant number, since it is smaller than the sum of its proper divisors (132327708896000).

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

94087131713800 is a wasteful number, since it uses less digits than its factorization.

94087131713800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535307 (or 8535298 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 94087131713800 in words is "ninety-four trillion, eighty-seven billion, one hundred thirty-one million, seven hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 1901 2900 3802 5800 7604 9505 15208 19010 38020 47525 55129 76040 95050 110258 190100 220516 275645 380200 441032 551290 1102580 1378225 2205160 2756450 5512900 8533361 11025800 17066722 34133444 42666805 68266888 85333610 170667220 213334025 247467469 341334440 426668050 494934938 853336100 989869876 1237337345 1706672200 1979739752 2474674690 4949349380 6186686725 9898698760 12373373450 16221919261 24746746900 32443838522 49493493800 64887677044 81109596305 129775354088 162219192610 324438385220 405547981525 470435658569 648876770440 811095963050 940871317138 1622191926100 1881742634276 2352178292845 3244383852200 3763485268552 4704356585690 9408713171380 11760891464225 18817426342760 23521782928450 47043565856900 94087131713800