Search a number
-
+
10151520040 = 235253788001
BaseRepresentation
bin10010111010001001…
…11110011100101000
3222012110212122112201
421131010332130220
5131242242120130
64355154145544
7506364332224
oct113504763450
928173778481
1010151520040
11433a2a5292
121b738822b4
13c5a1cc1bc
146c4325784
153e633cbca
hex25d13e728

10151520040 has 16 divisors (see below), whose sum is σ = 22840920180. Its totient is φ = 4060608000.

The previous prime is 10151520037. The next prime is 10151520079. The reversal of 10151520040 is 4002515101.

10151520040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9841830436 + 309689604 = 99206^2 + 17598^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 126893961 + ... + 126894040.

Almost surely, 210151520040 is an apocalyptic number.

10151520040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10151520040 is an abundant number, since it is smaller than the sum of its proper divisors (12689400140).

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

10151520040 is a wasteful number, since it uses less digits than its factorization.

10151520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253788012 (or 253788008 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The spelling of 10151520040 in words is "ten billion, one hundred fifty-one million, five hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 253788001 507576002 1015152004 1268940005 2030304008 2537880010 5075760020 10151520040