Search a number
-
+
10153525755560 = 23511103432231093
BaseRepresentation
bin1001001111000000110101…
…0010111011111010101000
31022221200000200000201002012
42103300031102323322220
52312323410043134220
633332244302455052
72065365555625265
oct223601522737250
938850020021065
1010153525755560
1132650a4650540
12117b9a3294488
1358861ccc1375
1427160cc6426c
151291b331aac5
hex93c0d4bbea8

10153525755560 has 64 divisors (see below), whose sum is σ = 24924711242880. Its totient is φ = 3691832554240.

The previous prime is 10153525755491. The next prime is 10153525755613. The reversal of 10153525755560 is 6555752535101.

10153525755560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10153525755499 and 10153525755508.

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, 3435374 + ... + 5666466.

It is an arithmetic number, because the mean of its divisors is an integer number (389448613170).

Almost surely, 210153525755560 is an apocalyptic number.

10153525755560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153525755560 is an abundant number, since it is smaller than the sum of its proper divisors (14771185487320).

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

10153525755560 is a wasteful number, since it uses less digits than its factorization.

10153525755560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241458 (or 2241454 counting only the distinct ones).

The product of its (nonzero) digits is 3937500, while the sum is 50.

The spelling of 10153525755560 in words is "ten trillion, one hundred fifty-three billion, five hundred twenty-five million, seven hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 10343 20686 41372 51715 82744 103430 113773 206860 227546 413720 455092 568865 910184 1137730 2231093 2275460 4462186 4550920 8924372 11155465 17848744 22310930 24542023 44621860 49084046 89243720 98168092 122710115 196336184 245420230 490840460 981680920 23076194899 46152389798 92304779596 115380974495 184609559192 230761948990 253838143889 461523897980 507676287778 923047795960 1015352575556 1269190719445 2030705151112 2538381438890 5076762877780 10153525755560