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36494768700 = 2234521317192937
BaseRepresentation
bin100001111111010000…
…011111101000111100
310111012101100100010000
4201333100133220330
51044220130044300
624433201314300
72431242262365
oct417720375074
9114171310100
1036494768700
1114528388975
1270a6035990
133597b03ac0
141aa2c4ab6c
15e38de4c00
hex87f41fa3c

36494768700 has 1440 divisors, whose sum is σ = 150862219200. Its totient is φ = 7524679680.

The previous prime is 36494768699. The next prime is 36494768753. The reversal of 36494768700 is 786749463.

It is a happy number.

36494768700 is a `hidden beast` number, since 3 + 6 + 494 + 76 + 87 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 986345082 + ... + 986345118.

It is an arithmetic number, because the mean of its divisors is an integer number (104765430).

Almost surely, 236494768700 is an apocalyptic number.

36494768700 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 36494768700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75431109600).

36494768700 is an abundant number, since it is smaller than the sum of its proper divisors (114367450500).

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

36494768700 is a wasteful number, since it uses less digits than its factorization.

36494768700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 36494768700 in words is "thirty-six billion, four hundred ninety-four million, seven hundred sixty-eight thousand, seven hundred".