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10252534320 = 2432572034233
BaseRepresentation
bin10011000110001100…
…10100001000110000
3222110111221201002100
421203012110020300
5131444122044240
64413203220400
7512032050420
oct114306241060
928414851070
1010252534320
114391319866
121ba1677700
13c75109572
146d38dc480
15400142e30
hex263194230

10252534320 has 120 divisors (see below), whose sum is σ = 39350222496. Its totient is φ = 2343435264.

The previous prime is 10252534319. The next prime is 10252534361. The reversal of 10252534320 is 2343525201.

It is a happy number.

10252534320 is a `hidden beast` number, since 102 + 5 + 2 + 534 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×102525343202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012077 + ... + 1022156.

Almost surely, 210252534320 is an apocalyptic number.

10252534320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10252534320 is an abundant number, since it is smaller than the sum of its proper divisors (29097688176).

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

10252534320 is a wasteful number, since it uses less digits than its factorization.

10252534320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034259 (or 2034250 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 10252534320 in words is "ten billion, two hundred fifty-two million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2034233 4068466 6102699 8136932 10171165 12205398 14239631 16273864 18308097 20342330 24410796 28479262 30513495 32547728 36616194 40684660 42718893 48821592 56958524 61026990 71198155 73232388 81369320 85437786 91540485 97643184 113917048 122053980 128156679 142396310 146464776 162738640 170875572 183080970 213594465 227834096 244107960 256313358 284792620 292929552 341751144 366161940 427188930 488215920 512626716 569585240 640783395 683502288 732323880 854377860 1025253432 1139170480 1281566790 1464647760 1708755720 2050506864 2563133580 3417511440 5126267160 10252534320