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46444708356 = 223173753116099
BaseRepresentation
bin101011010000010100…
…100000001000000100
311102212210220122100120
4223100110200020010
51230104321131411
633200355141540
73232641335664
oct532024401004
9142783818316
1046444708356
11187739108a2
1290022a48b0
1344c2314567
14236849c1a4
15131c6b5106
hexad0520204

46444708356 has 96 divisors (see below), whose sum is σ = 120071548800. Its totient is φ = 13909469184.

The previous prime is 46444708333. The next prime is 46444708361. The reversal of 46444708356 is 65380744464.

It is a super-2 number, since 2×464447083562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 46444708299 and 46444708308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341995 + ... + 458093.

It is an arithmetic number, because the mean of its divisors is an integer number (1250745300).

Almost surely, 246444708356 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 46444708356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60035774400).

46444708356 is an abundant number, since it is smaller than the sum of its proper divisors (73626840444).

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

46444708356 is a wasteful number, since it uses less digits than its factorization.

46444708356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116213 (or 116211 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 46444708356 in words is "forty-six billion, four hundred forty-four million, seven hundred eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 37 51 53 68 74 102 106 111 148 159 204 212 222 318 444 629 636 901 1258 1802 1887 1961 2516 2703 3604 3774 3922 5406 5883 7548 7844 10812 11766 23532 33337 66674 100011 116099 133348 200022 232198 348297 400044 464396 696594 1393188 1973683 3947366 4295663 5921049 6153247 7894732 8591326 11842098 12306494 12886989 17182652 18459741 23684196 24612988 25773978 36919482 51547956 73026271 73838964 104605199 146052542 209210398 219078813 227670139 292105084 313815597 418420796 438157626 455340278 627631194 683010417 876315252 910680556 1255262388 1366020834 2732041668 3870392363 7740784726 11611177089 15481569452 23222354178 46444708356