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10032502000 = 245343116657
BaseRepresentation
bin10010101011111101…
…11101010011110000
3221220011220220111011
421111332331103300
5131021310031000
64335303200304
7503420600653
oct112576752360
927804826434
1010032502000
1142890a4274
121b3ba46094
13c3b65a221
146b25c389a
153dab7d2ba
hex255fbd4f0

10032502000 has 80 divisors (see below), whose sum is σ = 24822955872. Its totient is φ = 3919641600.

The previous prime is 10032501989. The next prime is 10032502019. The reversal of 10032502000 is 20523001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27672 + ... + 144328.

Almost surely, 210032502000 is an apocalyptic number.

10032502000 is a gapful number since it is divisible by the number (10) 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 10032502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411477936).

10032502000 is an abundant number, since it is smaller than the sum of its proper divisors (14790453872).

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

10032502000 is a wasteful number, since it uses less digits than its factorization.

10032502000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116723 (or 116707 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The spelling of 10032502000 in words is "ten billion, thirty-two million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 43000 86000 116657 233314 466628 583285 933256 1166570 1866512 2333140 2916425 4666280 5016251 5832850 9332560 10032502 11665700 14582125 20065004 23331400 25081255 29164250 40130008 46662800 50162510 58328500 80260016 100325020 116657000 125406275 200650040 233314000 250812550 401300080 501625100 627031375 1003250200 1254062750 2006500400 2508125500 5016251000 10032502000