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40152532050 = 232521741313409
BaseRepresentation
bin100101011001010001…
…110000010001010010
310211122022001222010200
4211121101300101102
51124213022011200
630240144040030
72621005614441
oct453121602122
9124568058120
1040152532050
111603506a694
127947003016
133a2b859b07
141d2c954d58
1510a00b6800
hex959470452

40152532050 has 288 divisors, whose sum is σ = 117668874960. Its totient is φ = 9776332800.

The previous prime is 40152532019. The next prime is 40152532111. The reversal of 40152532050 is 5023525104.

It is a happy number.

40152532050 is a `hidden beast` number, since 401 + 5 + 2 + 53 + 205 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 5666927841 + 34485604209 = 75279^2 + 185703^2 .

It is a super-2 number, since 2×401525320502 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98172246 + ... + 98172654.

Almost surely, 240152532050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40152532050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834437480).

40152532050 is an abundant number, since it is smaller than the sum of its proper divisors (77516342910).

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

40152532050 is a wasteful number, since it uses less digits than its factorization.

40152532050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 40152532050 in words is "forty billion, one hundred fifty-two million, five hundred thirty-two thousand, fifty".