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46780004736 = 273382316447
BaseRepresentation
bin101011100100010011…
…100011100110000000
311110202011211110112000
4223210103203212000
51231301140122421
633253533504000
73244152323313
oct534423434600
9143664743460
1046780004736
1118926102a43
129096642000
13454691cc9a
14239ac1c97a
15133bd47226
hexae44e3980

46780004736 has 128 divisors (see below), whose sum is σ = 138242150400. Its totient is φ = 15573441024.

The previous prime is 46780004723. The next prime is 46780004737. The reversal of 46780004736 is 63740008764.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 46780004691 and 46780004700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46780004737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2836065 + ... + 2852511.

It is an arithmetic number, because the mean of its divisors is an integer number (1080016800).

Almost surely, 246780004736 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 46780004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69121075200).

46780004736 is an abundant number, since it is smaller than the sum of its proper divisors (91462145664).

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

46780004736 is a wasteful number, since it uses less digits than its factorization.

46780004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17293 (or 17275 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 46780004736 in words is "forty-six billion, seven hundred eighty million, four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 823 864 1152 1646 1728 2469 3292 3456 4938 6584 7407 9876 13168 14814 16447 19752 22221 26336 29628 32894 39504 44442 49341 52672 59256 65788 79008 88884 98682 105344 118512 131576 148023 158016 177768 197364 237024 263152 296046 316032 355536 394728 444069 474048 526304 592092 711072 789456 888138 948096 1052608 1184184 1422144 1578912 1776276 2105216 2368368 2844288 3157824 3552552 4736736 6315648 7105104 9473472 13535881 14210208 18946944 27071762 28420416 40607643 54143524 56840832 81215286 108287048 121822929 162430572 216574096 243645858 324861144 365468787 433148192 487291716 649722288 730937574 866296384 974583432 1299444576 1461875148 1732592768 1949166864 2598889152 2923750296 3898333728 5197778304 5847500592 7796667456 11695001184 15593334912 23390002368 46780004736