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46365056364 = 223112101409773
BaseRepresentation
bin101011001011100100…
…101001110101101100
311102200021000220100210
4223023210221311230
51224423423300424
633144432022420
73230653322304
oct531344516554
9142607026323
1046365056364
1118732958100
128b9b691a10
1344ab9766c3
14235ba86604
1513156ce729
hexacb929d6c

46365056364 has 144 divisors (see below), whose sum is σ = 120540964320. Its totient is φ = 13858944000.

The previous prime is 46365056359. The next prime is 46365056417.

46365056364 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59980282 + ... + 59981054.

It is an arithmetic number, because the mean of its divisors is an integer number (837090030).

Almost surely, 246365056364 is an apocalyptic number.

46365056364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46365056364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60270482160).

46365056364 is an abundant number, since it is smaller than the sum of its proper divisors (74175907956).

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

46365056364 is a wasteful number, since it uses less digits than its factorization.

46365056364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 46365056364 in words is "forty-six billion, three hundred sixty-five million, fifty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 409 484 606 726 773 818 1111 1212 1227 1452 1546 1636 2222 2319 2454 3092 3333 4444 4499 4638 4908 6666 8503 8998 9276 12221 13332 13497 17006 17996 24442 25509 26994 34012 36663 41309 48884 49489 51018 53988 73326 78073 82618 93533 98978 102036 123927 146652 148467 156146 165236 187066 197956 234219 247854 280599 296934 312292 316157 374132 454399 468438 495708 561198 593868 632314 858803 908798 936876 948471 1122396 1264628 1363197 1717606 1817596 1896942 2576409 2726394 3435212 3477727 3793884 4998389 5152818 5452788 6955454 9446833 9996778 10305636 10433181 13910908 14995167 18893666 19993556 20866362 28340499 29990334 31931857 37787332 38254997 41732724 56680998 59980668 63863714 76509994 95795571 113361996 114764991 127727428 153019988 191591142 229529982 351250427 383182284 459059964 702500854 1053751281 1405001708 2107502562 3863754697 4215005124 7727509394 11591264091 15455018788 23182528182 46365056364