Search a number
-
+
23056117776 = 2433294144887
BaseRepresentation
bin10101011110010000…
…000111000000010000
32012111211011010201000
4111132100013000100
5334204331232101
614331500342000
71444231524156
oct253620070020
965454133630
1023056117776
11986163959a
124575544900
1322358aa053
14118a1393d6
158ee1e7486
hex55e407010

23056117776 has 160 divisors (see below), whose sum is σ = 70133011200. Its totient is φ = 7239214080.

The previous prime is 23056117771. The next prime is 23056117781. The reversal of 23056117776 is 67771165032.

23056117776 is a `hidden beast` number, since 2 + 3 + 0 + 561 + 17 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (23056117771) and next prime (23056117781).

It is not an unprimeable number, because it can be changed into a prime (23056117771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491205 + ... + 536091.

It is an arithmetic number, because the mean of its divisors is an integer number (438331320).

Almost surely, 223056117776 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 23056117776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35066505600).

23056117776 is an abundant number, since it is smaller than the sum of its proper divisors (47076893424).

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

23056117776 is a wasteful number, since it uses less digits than its factorization.

23056117776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44974 (or 44962 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 23056117776 in words is "twenty-three billion, fifty-six million, one hundred seventeen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 41 48 54 58 72 82 87 108 116 123 144 164 174 216 232 246 261 328 348 369 432 464 492 522 656 696 738 783 984 1044 1107 1189 1392 1476 1566 1968 2088 2214 2378 2952 3132 3567 4176 4428 4756 5904 6264 7134 8856 9512 10701 12528 14268 17712 19024 21402 28536 32103 42804 44887 57072 64206 85608 89774 128412 134661 171216 179548 256824 269322 359096 403983 513648 538644 718192 807966 1077288 1211949 1301723 1615932 1840367 2154576 2423898 2603446 3231864 3680734 3905169 4847796 5206892 5521101 6463728 7361468 7810338 9695592 10413784 11042202 11715507 14722936 15620676 16563303 19391184 20827568 22084404 23431014 29445872 31241352 33126606 35146521 44168808 46862028 49689909 53370643 62482704 66253212 70293042 88337616 93724056 99379818 106741286 132506424 140586084 160111929 187448112 198759636 213482572 265012848 281172168 320223858 397519272 426965144 480335787 562344336 640447716 795038544 853930288 960671574 1280895432 1441007361 1921343148 2561790864 2882014722 3842686296 5764029444 7685372592 11528058888 23056117776