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36520007040 = 2732511261859
BaseRepresentation
bin100010000000110000…
…110001010110000000
310111021010211120121100
4202000300301112000
51044243110211130
624435502254400
72431666636506
oct420060612600
9114233746540
1036520007040
1114540656900
1270b2587400
1335a00cc62a
141aa633a676
15e3b22cc60
hex880c31580

36520007040 has 576 divisors, whose sum is σ = 141051128400. Its totient is φ = 8698060800.

The previous prime is 36520007009. The next prime is 36520007047. The reversal of 36520007040 is 4070002563.

It is a happy number.

36520007040 is a `hidden beast` number, since 3 + 652 + 0 + 0 + 0 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 36520006995 and 36520007013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36520007047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42514131 + ... + 42514989.

Almost surely, 236520007040 is an apocalyptic number.

36520007040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36520007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70525564200).

36520007040 is an abundant number, since it is smaller than the sum of its proper divisors (104531121360).

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

36520007040 is a wasteful number, since it uses less digits than its factorization.

36520007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 36520007040 in words is "thirty-six billion, five hundred twenty million, seven thousand, forty".