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36468985320 = 23335192891051
BaseRepresentation
bin100001111101101110…
…001000110111101000
310111010120211101222000
4201331232020313220
51044142030012240
624430440531000
72430510155235
oct417556106750
9114116741860
1036468985320
1114514878499
127099480a60
133592677171
141a9d65878c
15e36a00430
hex87db88de8

36468985320 has 384 divisors, whose sum is σ = 129863088000. Its totient is φ = 9101030400.

The previous prime is 36468985307. The next prime is 36468985349. The reversal of 36468985320 is 2358986463.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34698795 + ... + 34699845.

It is an arithmetic number, because the mean of its divisors is an integer number (338185125).

Almost surely, 236468985320 is an apocalyptic number.

36468985320 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 36468985320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64931544000).

36468985320 is an abundant number, since it is smaller than the sum of its proper divisors (93394102680).

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

36468985320 is a wasteful number, since it uses less digits than its factorization.

36468985320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 36468985320 in words is "thirty-six billion, four hundred sixty-eight million, nine hundred eighty-five thousand, three hundred twenty".