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23126837916 = 223721323131543
BaseRepresentation
bin10101100010011101…
…111000101010011100
32012200202020002111110
4111202131320222130
5334330432303131
614342504222020
71446050610300
oct254235705234
965622202443
1023126837916
119898551696
12459516a910
13224743b5a0
1411956a7d00
15905516646
hex562778a9c

23126837916 has 144 divisors (see below), whose sum is σ = 70541259264. Its totient is φ = 5834150784.

The previous prime is 23126837891. The next prime is 23126837933. The reversal of 23126837916 is 61973862132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110041 + ... + 241583.

It is an arithmetic number, because the mean of its divisors is an integer number (489869856).

Almost surely, 223126837916 is an apocalyptic number.

23126837916 is a gapful number since it is divisible by the number (26) 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 23126837916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35270629632).

23126837916 is an abundant number, since it is smaller than the sum of its proper divisors (47414421348).

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

23126837916 is a wasteful number, since it uses less digits than its factorization.

23126837916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131600 (or 131591 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 23126837916 in words is "twenty-three billion, one hundred twenty-six million, eight hundred thirty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 273 276 294 299 322 364 483 546 588 598 637 644 897 966 1092 1127 1196 1274 1794 1911 1932 2093 2254 2548 3381 3588 3822 4186 4508 6279 6762 7644 8372 12558 13524 14651 25116 29302 43953 58604 87906 131543 175812 263086 394629 526172 789258 920801 1578516 1710059 1841602 2762403 3025489 3420118 3683204 5130177 5524806 6050978 6445607 6840236 9076467 10260354 11049612 11970413 12101956 12891214 18152934 19336821 20520708 21178423 23940826 25782428 35911239 36305868 38673642 39331357 42356846 47881652 63535269 71822478 77347284 78662714 83792891 84713692 117994071 127070538 143644956 148248961 157325428 167585782 235988142 251378673 254141076 275319499 296497922 335171564 444746883 471976284 502757346 550638998 592995844 825958497 889493766 1005514692 1101277996 1651916994 1778987532 1927236493 3303833988 3854472986 5781709479 7708945972 11563418958 23126837916