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23146211264132 = 221123251157957709
BaseRepresentation
bin1010100001101001001011…
…01100110100011010000100
310000221202102021000120102202
411100310211230310122010
511013211420040423012
6121121120032254032
74606154456354045
oct520644554643204
9100852367016382
1023146211264132
1174142869245a0
122719a833a1318
13cbb8a8470a38
145a03d56668cc
152a2145765cc2
hex150d25b34684

23146211264132 has 96 divisors (see below), whose sum is σ = 46323272217600. Its totient is φ = 10016954640000.

The previous prime is 23146211264129. The next prime is 23146211264161.

23146211264132 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 31 ways as a sum of consecutive naturals, for example, 401056094 + ... + 401113802.

It is an arithmetic number, because the mean of its divisors is an integer number (482534085600).

Almost surely, 223146211264132 is an apocalyptic number.

23146211264132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23146211264132 is an abundant number, since it is smaller than the sum of its proper divisors (23177060953468).

23146211264132 is a wasteful number, since it uses less digits than its factorization.

23146211264132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59577 (or 59575 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 2314621 and 1264132, that added together give a palindrome (3578753).

The spelling of 23146211264132 in words is "twenty-three trillion, one hundred forty-six billion, two hundred eleven million, two hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 23 44 46 92 251 253 502 506 1004 1012 1579 2761 3158 5522 5773 6316 11044 11546 17369 23092 34738 36317 57709 63503 69476 72634 115418 127006 145268 230836 254012 396329 399487 634799 792658 798974 1269598 1327307 1585316 1597948 2539196 2654614 4359619 5309228 8719238 9115567 14484959 14600377 17438476 18231134 28969918 29200754 36462268 57939836 58401508 91122511 100271237 159334549 182245022 200542474 318669098 333154057 364490044 401084948 637338196 666308114 1002347621 1332616228 2004695242 2095817753 3664694627 4009390484 4191635506 7329389254 8383271012 14658778508 22871750261 23053995283 45743500522 46107990566 91487001044 92215981132 251589252871 503178505742 526050256003 1006357011484 1052100512006 2104201024012 5786552816033 11573105632066 23146211264132