Search a number
-
+
56976718670928 = 24367697833611
BaseRepresentation
bin11001111010001111011010…
…00100111010110001010000
321110201220212111012012000000
430331013231010322301100
524432001304434432203
6321102424311130000
715000301126564350
oct1475075504726120
9243656774165000
1056976718670928
1117177766345301
126482577973900
1325a3b5c8cab34
14100d98b83cb60
1568c1664cc4a3
hex33d1ed13ac50

56976718670928 has 140 divisors (see below), whose sum is σ = 189157570203168. Its totient is φ = 16279062454080.

The previous prime is 56976718670881. The next prime is 56976718670951. The reversal of 56976718670928 is 82907681767965.

56976718670928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 348835158 + ... + 348998453.

Almost surely, 256976718670928 is an apocalyptic number.

It is an amenable number.

56976718670928 is an abundant number, since it is smaller than the sum of its proper divisors (132180851532240).

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

56976718670928 is an equidigital number, since it uses as much as digits as its factorization.

56976718670928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697833644 (or 697833623 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 81.

The spelling of 56976718670928 in words is "fifty-six trillion, nine hundred seventy-six billion, seven hundred eighteen million, six hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 20412 27216 40824 81648 697833611 1395667222 2093500833 2791334444 4187001666 4884835277 5582668888 6280502499 8374003332 9769670554 11165337776 12561004998 14654505831 16748006664 18841507497 19539341108 25122009996 29309011662 33496013328 37683014994 39078682216 43963517493 50244019992 56524522491 58618023324 75366029988 78157364432 87927034986 100488039984 113049044982 117236046648 131890552479 150732059976 169573567473 175854069972 226098089964 234472093296 263781104958 301464119952 339147134946 351708139944 395671657437 452196179928 508720702419 527562209916 678294269892 703416279888 791343314874 904392359856 1017441404838 1055124419832 1187014972311 1356588539784 1582686629748 2034882809676 2110248839664 2374029944622 2713177079568 3165373259496 3561044916933 4069765619352 4748059889244 6330746518992 7122089833866 8139531238704 9496119778488 14244179667732 18992239556976 28488359335464 56976718670928