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21923957172 = 223131075212521
BaseRepresentation
bin10100011010110001…
…010000100110110100
32002120220210102022210
4110122301100212310
5324400013112142
614023254253420
71404203363325
oct243261204664
962526712283
1021923957172
119330558577
1242ba357270
1320b5178b30
1410bda2844c
15884b0c49c
hex51ac509b4

21923957172 has 96 divisors (see below), whose sum is σ = 55734666624. Its totient is φ = 6667315200.

The previous prime is 21923957149. The next prime is 21923957173. The reversal of 21923957172 is 27175932912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21923957173) 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, 8695272 + ... + 8697792.

It is an arithmetic number, because the mean of its divisors is an integer number (580569444).

Almost surely, 221923957172 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 21923957172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27867333312).

21923957172 is an abundant number, since it is smaller than the sum of its proper divisors (33810709452).

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

21923957172 is a wasteful number, since it uses less digits than its factorization.

21923957172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3167 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The spelling of 21923957172 in words is "twenty-one billion, nine hundred twenty-three million, nine hundred fifty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 521 642 1042 1284 1391 1563 2084 2521 2782 3126 4173 5042 5564 6252 6773 7563 8346 10084 13546 15126 16692 20319 27092 30252 32773 40638 55747 65546 81276 98319 111494 131092 167241 196638 222988 269747 334482 393276 539494 668964 724711 809241 1078988 1313441 1449422 1618482 2174133 2626882 2898844 3236964 3506711 3940323 4348266 5253764 7013422 7880646 8696532 10520133 14026844 15761292 17074733 21040266 34149466 42080532 51224199 68298932 102448398 140538187 204896796 281076374 421614561 562152748 843229122 1686458244 1826996431 3653992862 5480989293 7307985724 10961978586 21923957172