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10150562500 = 2256132312
BaseRepresentation
bin10010111010000010…
…10100101011000100
3222012102002000001021
421131001110223010
5131242021000000
64355121440524
7506353233451
oct113501245304
928172060037
1010150562500
114339800931
121b734a0144
13c59c55400
146c4156828
153e61ee11a
hex25d054ac4

10150562500 has 189 divisors, whose sum is σ = 24844076523. Its totient is φ = 3627000000.

The previous prime is 10150562479. The next prime is 10150562501. The reversal of 10150562500 is 526505101.

The square root of 10150562500 is 100750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 4761828036 + 5388734464 = 69006^2 + 73408^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10150562501) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 327437485 + ... + 327437515.

Almost surely, 210150562500 is an apocalyptic number.

10150562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10150562500 is the 100750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10150562500

10150562500 is an abundant number, since it is smaller than the sum of its proper divisors (14693514023).

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

10150562500 is an frugal number, since it uses more digits than its factorization.

10150562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Multiplying 10150562500 by its sum of digits (25), we get a square (253764062500 = 5037502).

10150562500 divided by its sum of digits (25) gives a square (406022500 = 201502).

The spelling of 10150562500 in words is "ten billion, one hundred fifty million, five hundred sixty-two thousand, five hundred".