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10153305520 = 245479264961
BaseRepresentation
bin10010111010010111…
…10010010110110000
3222012121020100202121
421131023302112300
5131243221234040
64355300324024
7506415446551
oct113513622660
928177210677
1010153305520
114340304796
121b743a3614
13c5a6a5ab7
146c466c328
153e6591c4a
hex25d2f25b0

10153305520 has 40 divisors (see below), whose sum is σ = 23655807360. Its totient is φ = 4052828160.

The previous prime is 10153305497. The next prime is 10153305529. The reversal of 10153305520 is 2550335101.

10153305520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101533055202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10153305529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94161 + ... + 170800.

It is an arithmetic number, because the mean of its divisors is an integer number (591395184).

Almost surely, 210153305520 is an apocalyptic number.

10153305520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153305520 is an abundant number, since it is smaller than the sum of its proper divisors (13502501840).

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

10153305520 is a wasteful number, since it uses less digits than its factorization.

10153305520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265453 (or 265447 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 10153305520 in words is "ten billion, one hundred fifty-three million, three hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 479 958 1916 2395 3832 4790 7664 9580 19160 38320 264961 529922 1059844 1324805 2119688 2649610 4239376 5299220 10598440 21196880 126916319 253832638 507665276 634581595 1015330552 1269163190 2030661104 2538326380 5076652760 10153305520