Search a number
-
+
5056681382466 = 2372612511123349
BaseRepresentation
bin100100110010101100110…
…1100101001001001000010
3122220102011211010200201220
41021211121230221021002
51130322040413214331
614431001331135510
71031222164364100
oct111453154511102
918812154120656
105056681382466
11167a5878a40aa
12698028444596
132a8ac612102c
14136a5d5b4c70
158b808945296
hex49959b29242

5056681382466 has 96 divisors (see below), whose sum is σ = 12005034753600. Its totient is φ = 1415418480000.

The previous prime is 5056681382443. The next prime is 5056681382477. The reversal of 5056681382466 is 6642831866505.

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, 3939760 + ... + 5063108.

It is an arithmetic number, because the mean of its divisors is an integer number (125052445350).

Almost surely, 25056681382466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056681382466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002517376800).

5056681382466 is an abundant number, since it is smaller than the sum of its proper divisors (6948353371134).

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

5056681382466 is a wasteful number, since it uses less digits than its factorization.

5056681382466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123680 (or 1123673 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 5056681382466 in words is "five trillion, fifty-six billion, six hundred eighty-one million, three hundred eighty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 251 294 366 427 502 753 854 1281 1506 1757 2562 2989 3514 5271 5978 8967 10542 12299 15311 17934 24598 30622 36897 45933 73794 91866 107177 214354 321531 643062 750239 1123349 1500478 2246698 2250717 3370047 4501434 6740094 7863443 15726886 23590329 47180658 55044101 68524289 110088202 137048578 165132303 205572867 281960599 330264606 411145734 479670023 563921198 845881797 959340046 1439010069 1691763594 1973724193 2878020138 3357690161 3947448386 5921172579 6715380322 10073070483 11842345158 13816069351 17199596539 20146140966 27632138702 34399193078 41448208053 51598789617 82896416106 103197579234 120397175773 240794351546 361191527319 722383054638 842780230411 1685560460822 2528340691233 5056681382466