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10152027520 = 27517391691
BaseRepresentation
bin10010111010001101…
…11010010110000000
3222012111211102200021
421131012322112000
5131242404340040
64355213103224
7506401544605
oct113506722600
928174742607
1010152027520
11433a611598
121b73a87b14
13c5a34919b
146c44186ac
153e63dd24a
hex25d1ba580

10152027520 has 64 divisors (see below), whose sum is σ = 24410244240. Its totient is φ = 4037294080.

The previous prime is 10152027511. The next prime is 10152027521. The reversal of 10152027520 is 2572025101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152027521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64875 + ... + 156565.

Almost surely, 210152027520 is an apocalyptic number.

10152027520 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 10152027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12205122120).

10152027520 is an abundant number, since it is smaller than the sum of its proper divisors (14258216720).

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

10152027520 is an equidigital number, since it uses as much as digits as its factorization.

10152027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91883 (or 91871 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The spelling of 10152027520 in words is "ten billion, one hundred fifty-two million, twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 320 346 640 692 865 1384 1730 2768 3460 5536 6920 11072 13840 22144 27680 55360 91691 110720 183382 366764 458455 733528 916910 1467056 1833820 2934112 3667640 5868224 7335280 11736448 14670560 15862543 29341120 31725086 58682240 63450172 79312715 126900344 158625430 253800688 317250860 507601376 634501720 1015202752 1269003440 2030405504 2538006880 5076013760 10152027520