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6116640022332 = 223271911131114769
BaseRepresentation
bin101100100000010010000…
…1001111101111100111100
3210122202010011022121112100
41121000210021331330330
51300203334321203312
621001540131305100
71200625020226260
oct131004411757474
923582104277470
106116640022332
111a49063917624
1282954244b190
13354a483c50a8
14172092bc60a0
15a9193e8e5dc
hex5902427df3c

6116640022332 has 144 divisors (see below), whose sum is σ = 18602141958400. Its totient is φ = 1655468720640.

The previous prime is 6116640022279. The next prime is 6116640022343. The reversal of 6116640022332 is 2332200466116.

6116640022332 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 640 + 0 + 2 + 2 + 3 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53237844 + ... + 53352612.

Almost surely, 26116640022332 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 6116640022332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301070979200).

6116640022332 is an abundant number, since it is smaller than the sum of its proper divisors (12485501936068).

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

6116640022332 is a wasteful number, since it uses less digits than its factorization.

6116640022332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125936 (or 125931 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 6116640022332 its reverse (2332200466116), we get a palindrome (8448840488448).

The spelling of 6116640022332 in words is "six trillion, one hundred sixteen billion, six hundred forty million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 11131 22262 33393 44524 66786 77917 100179 114769 133572 155834 200358 211489 229538 233751 311668 344307 400716 422978 459076 467502 634467 688614 701253 803383 845956 935004 1032921 1268934 1377228 1402506 1480423 1606766 1903401 2065842 2180611 2410149 2537868 2805012 2960846 3213532 3806802 4131684 4361222 4441269 4820298 5921692 6541833 7230447 7613604 8722444 8882538 9640596 13083666 13323807 14460894 15264277 17765076 19625499 26167332 26647614 28921788 30528554 39250998 45792831 53295228 61057108 78501996 91585662 137378493 183171324 274756986 549513972 1277493739 2554987478 3832481217 5109974956 7664962434 8942456173 11497443651 15329924868 17884912346 22994887302 24272381041 26827368519 35769824692 45989774604 48544762082 53654737038 72817143123 80482105557 97089524164 107309474076 145634286246 160964211114 169906667287 218451429369 291268572492 321928422228 339813334574 436902858738 509720001861 679626669148 873805717476 1019440003722 1529160005583 2038880007444 3058320011166 6116640022332