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36156755040 = 253574137229
BaseRepresentation
bin100001101011000111…
…000100110001100000
310110022211022110112120
4201223013010301200
51043022112130130
624335444424240
72416666230000
oct415307046140
9113284273476
1036156755040
111437460023a
1270109a8080
133542a86613
141a6ddc0000
15e193c7910
hex86b1c4c60

36156755040 has 480 divisors, whose sum is σ = 134422454880. Its totient is φ = 8168251392.

The previous prime is 36156755027. The next prime is 36156755051. The reversal of 36156755040 is 4055765163.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36156754983 and 36156755001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157889646 + ... + 157889874.

It is an arithmetic number, because the mean of its divisors is an integer number (280046781).

Almost surely, 236156755040 is an apocalyptic number.

36156755040 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 36156755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67211227440).

36156755040 is an abundant number, since it is smaller than the sum of its proper divisors (98265699840).

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

36156755040 is a wasteful number, since it uses less digits than its factorization.

36156755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 36156755040 in words is "thirty-six billion, one hundred fifty-six million, seven hundred fifty-five thousand, forty".