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23125897480 = 23574111317827
BaseRepresentation
bin10101100010011010…
…010011000100001000
32012200200110022110111
4111202122103010020
5334330212204410
614342432124104
71446036612430
oct254232230410
965620408414
1023125897480
119897a6a074
124594996634
13224719c50a
1411955012c0
159053ccb8a
hex562693108

23125897480 has 128 divisors (see below), whose sum is σ = 61459534080. Its totient is φ = 7666606080.

The previous prime is 23125897471. The next prime is 23125897513. The reversal of 23125897480 is 8479852132.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288327 + ... + 1306153.

It is an arithmetic number, because the mean of its divisors is an integer number (480152610).

Almost surely, 223125897480 is an apocalyptic number.

23125897480 is a gapful number since it is divisible by the number (20) 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 23125897480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30729767040).

23125897480 is an abundant number, since it is smaller than the sum of its proper divisors (38333636600).

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

23125897480 is a wasteful number, since it uses less digits than its factorization.

23125897480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17999 (or 17995 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 23125897480 in words is "twenty-three billion, one hundred twenty-five million, eight hundred ninety-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 113 140 164 205 226 280 287 328 410 452 565 574 791 820 904 1130 1148 1435 1582 1640 2260 2296 2870 3164 3955 4520 4633 5740 6328 7910 9266 11480 15820 17827 18532 23165 31640 32431 35654 37064 46330 64862 71308 89135 92660 124789 129724 142616 162155 178270 185320 249578 259448 324310 356540 499156 623945 648620 713080 730907 998312 1247890 1297240 1461814 2014451 2495780 2923628 3654535 4028902 4991560 5116349 5847256 7309070 8057804 10072255 10232698 14101157 14618140 16115608 20144510 20465396 25581745 28202314 29236280 40289020 40930792 51163490 56404628 70505785 80578040 82592491 102326980 112809256 141011570 165184982 204653960 282023140 330369964 412962455 564046280 578147437 660739928 825924910 1156294874 1651849820 2312589748 2890737185 3303699640 4625179496 5781474370 11562948740 23125897480