Search a number
-
+
5076916909056 = 210321158747543
BaseRepresentation
bin100100111100000111111…
…0101000011010000000000
3122222100102001211221201200
41021320033311003100000
51131140011212042211
614444145312501200
71032536506462326
oct111701765032000
918870361757650
105076916909056
1116881212707a3
1269bb3524a800
132aa99c5415c5
14137a1cc89d16
158c0e01d6b56
hex49e0fd43400

5076916909056 has 132 divisors (see below), whose sum is σ = 14661060933792. Its totient is φ = 1692123992064.

The previous prime is 5076916908977. The next prime is 5076916909061. The reversal of 5076916909056 is 6509096196705.

5076916909056 is a `hidden beast` number, since 507 + 69 + 1 + 69 + 0 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×50769169090562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5076916908984 and 5076916909002.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 106762021 + ... + 106809563.

Almost surely, 25076916909056 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 5076916909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330530466896).

5076916909056 is an abundant number, since it is smaller than the sum of its proper divisors (9584144024736).

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

5076916909056 is a wasteful number, since it uses less digits than its factorization.

5076916909056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59156 (or 59135 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 5076916909056 in words is "five trillion, seventy-six billion, nine hundred sixteen million, nine hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 11587 23174 34761 46348 47543 69522 92696 95086 104283 139044 142629 185392 190172 208566 278088 285258 370784 380344 417132 427887 556176 570516 741568 760688 834264 855774 1112352 1141032 1483136 1521376 1668528 1711548 2224704 2282064 2966272 3042752 3337056 3423096 4449408 4564128 5932544 6085504 6674112 6846192 8898816 9128256 11865088 12171008 13348224 13692384 17797632 18256512 24342016 26696448 27384768 35595264 36513024 48684032 53392896 54769536 73026048 106785792 109539072 146052096 219078144 438156288 550880741 1101761482 1652642223 2203522964 3305284446 4407045928 4957926669 6610568892 8814091856 9915853338 13221137784 17628183712 19831706676 26442275568 35256367424 39663413352 52884551136 70512734848 79326826704 105769102272 141025469696 158653653408 211538204544 282050939392 317307306816 423076409088 564101878784 634614613632 846152818176 1269229227264 1692305636352 2538458454528 5076916909056