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40516862004 = 22321125468389
BaseRepresentation
bin100101101110111111…
…100100000000110100
310212120200121211212200
4211232333210000310
51130434304041004
630340240544500
72633021434053
oct455677440064
9125520554780
1040516862004
1116201792123
127a29022130
133a8918c678
141d650b239a
1510c2081239
hex96efe4034

40516862004 has 18 divisors (see below), whose sum is σ = 102417623490. Its totient is φ = 13505620656.

The previous prime is 40516861997. The next prime is 40516862021. The reversal of 40516862004 is 40026861504.

40516862004 is a `hidden beast` number, since 40 + 516 + 86 + 20 + 0 + 4 = 666.

40516862004 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 only one way, i.e., 38659424400 + 1857437604 = 196620^2 + 43098^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×405168620042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1125468389 = 40516862004 / (4 + 0 + 5 + 1 + 6 + 8 + 6 + 2 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 40516862004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562734159 + ... + 562734230.

Almost surely, 240516862004 is an apocalyptic number.

It is an amenable number.

40516862004 is an abundant number, since it is smaller than the sum of its proper divisors (61900761486).

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

40516862004 is a wasteful number, since it uses less digits than its factorization.

40516862004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125468399 (or 1125468394 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40516862004 in words is "forty billion, five hundred sixteen million, eight hundred sixty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1125468389 2250936778 3376405167 4501873556 6752810334 10129215501 13505620668 20258431002 40516862004