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23092269504 = 263378573793
BaseRepresentation
bin10101100000011010…
…000001000111000000
32012121100011211112220
4111200122001013000
5334243110111004
614335231251040
71445151023613
oct254032010700
965540154486
1023092269504
11987aa90957
124585679a80
1322402270c5
141190c6a17a
15902488dd9
hex5606811c0

23092269504 has 112 divisors (see below), whose sum is σ = 62839384608. Its totient is φ = 7478673408.

The previous prime is 23092269503. The next prime is 23092269527. The reversal of 23092269504 is 40596229032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23092269503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6086232 + ... + 6090024.

It is an arithmetic number, because the mean of its divisors is an integer number (561065934).

Almost surely, 223092269504 is an apocalyptic number.

23092269504 is a gapful number since it is divisible by the number (24) 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 23092269504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31419692304).

23092269504 is an abundant number, since it is smaller than the sum of its proper divisors (39747115104).

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

23092269504 is a wasteful number, since it uses less digits than its factorization.

23092269504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 23092269504 in words is "twenty-three billion, ninety-two million, two hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 857 888 1184 1714 1776 2368 2571 3428 3552 3793 5142 6856 7104 7586 10284 11379 13712 15172 20568 22758 27424 30344 31709 41136 45516 54848 60688 63418 82272 91032 95127 121376 126836 140341 164544 182064 190254 242752 253672 280682 364128 380508 421023 507344 561364 728256 761016 842046 1014688 1122728 1522032 1684092 2029376 2245456 3044064 3250601 3368184 4490912 6088128 6501202 6736368 8981824 9751803 13002404 13472736 19503606 26004808 26945472 39007212 52009616 78014424 104019232 120272237 156028848 208038464 240544474 312057696 360816711 481088948 624115392 721633422 962177896 1443266844 1924355792 2886533688 3848711584 5773067376 7697423168 11546134752 23092269504