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6102836633664 = 2636114372
BaseRepresentation
bin101100011001110110101…
…1010001110000001000000
3210121102111011210211000000
41120303231122032001000
51244442102134234124
620551334321000000
71166625660322521
oct130635532160100
923542434724000
106102836633664
111a432201a73a1
1282692b783000
13353658754ca4
1417154388c848
15a8b372466c9
hex58ced68e040

6102836633664 has 147 divisors (see below), whose sum is σ = 18158756272077. Its totient is φ = 2034101009664.

The previous prime is 6102836633561. The next prime is 6102836633741. The reversal of 6102836633664 is 4663366382016.

The square root of 6102836633664 is 2470392.

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

It can be written as a sum of positive squares in only one way, i.e., 1813762497600 + 4289074136064 = 1346760^2 + 2071008^2 .

It is a super-2 number, since 2×61028366336642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6102836633664.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 533598954 + ... + 533610390.

Almost surely, 26102836633664 is an apocalyptic number.

6102836633664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6102836633664 is the 2470392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6102836633664

6102836633664 is an abundant number, since it is smaller than the sum of its proper divisors (12055919638413).

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

6102836633664 is an frugal number, since it uses more digits than its factorization.

6102836633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22904 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 6102836633664 in words is "six trillion, one hundred two billion, eight hundred thirty-six million, six hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11437 11664 15552 22874 23328 34311 45748 46656 68622 91496 102933 137244 182992 205866 274488 308799 365984 411732 548976 617598 731968 823464 926397 1097952 1235196 1646928 1852794 2195904 2470392 2779191 3293856 3705588 4940784 5558382 6587712 7411176 8337573 9881568 11116764 14822352 16675146 19763136 22233528 29644704 33350292 44467056 59289408 66700584 88934112 130804969 133401168 177868224 261609938 266802336 392414907 523219876 533604672 784829814 1046439752 1177244721 1569659628 2092879504 2354489442 3139319256 3531734163 4185759008 4708978884 6278638512 7063468326 8371518016 9417957768 10595202489 12557277024 14126936652 18835915536 21190404978 25114554048 28253873304 31785607467 37671831072 42380809956 56507746608 63571214934 75343662144 84761619912 95356822401 113015493216 127142429868 169523239824 190713644802 226030986432 254284859736 339046479648 381427289604 508569719472 678092959296 762854579208 1017139438944 1525709158416 2034278877888 3051418316832 6102836633664