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4693141645956 = 2232127228432
BaseRepresentation
bin100010001001011010100…
…0010100110101010000100
3121121122211002222121121100
41010102311002212222010
51103343023230132311
613551555521020100
7663032265534261
oct104226502465204
917548732877540
104693141645956
11154a394122375
1263968b784630
1328073b3c4cca
1412321383a268
158212cdc7a56
hex444b50a6a84

4693141645956 has 81 divisors (see below), whose sum is σ = 11961573232791. Its totient is φ = 1551516667344.

The previous prime is 4693141645937. The next prime is 4693141646003. The reversal of 4693141645956 is 6595461413964.

It is a happy number.

The square root of 4693141645956 is 2166366.

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

4693141645956 is a `hidden beast` number, since 4 + 6 + 9 + 31 + 4 + 1 + 6 + 4 + 595 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4693141645893 and 4693141645902.

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, 1650769471 + ... + 1650772313.

Almost surely, 24693141645956 is an apocalyptic number.

4693141645956 is the 2166366-th square number.

It is an amenable number.

4693141645956 is an abundant number, since it is smaller than the sum of its proper divisors (7268431586835).

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

4693141645956 is an equidigital number, since it uses as much as digits as its factorization.

4693141645956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 2975 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 4693141645956 in words is "four trillion, six hundred ninety-three billion, one hundred forty-one million, six hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 2843 4572 5686 8529 11372 16129 17058 25587 32258 34116 48387 51174 64516 96774 102348 145161 193548 290322 361061 580644 722122 1083183 1444244 2166366 3249549 4332732 6499098 8082649 12998196 16165298 24247947 32330596 45854747 48495894 72743841 91709494 96991788 137564241 145487682 183418988 275128482 290975364 412692723 550256964 825385446 1026496423 1650770892 2052992846 3079489269 4105985692 6158978538 9238467807 12317957076 18476935614 36953871228 130365045721 260730091442 391095137163 521460182884 782190274326 1173285411489 1564380548652 2346570822978 4693141645956