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3994995658752 = 21233731923241
BaseRepresentation
bin111010001000101000010…
…011000001000000000000
3112010220210010010211022000
4322020220103001000000
51010423222342040002
612255135313344000
7561425500545000
oct72105023010000
915126703124260
103994995658752
1113002a4999a5a
1254630bb68000
1322c95a0a9b77
14db50486c000
156ddbb99761c
hex3a2284c1000

3994995658752 has 1664 divisors, whose sum is σ = 15223464960000. Its totient is φ = 1030045040640.

The previous prime is 3994995658711. The next prime is 3994995658789. The reversal of 3994995658752 is 2578565994993.

3994995658752 is a `hidden beast` number, since 3 + 9 + 9 + 49 + 9 + 565 + 8 + 7 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16576745352 + ... + 16576745592.

Almost surely, 23994995658752 is an apocalyptic number.

3994995658752 is a gapful number since it is divisible by the number (32) 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 3994995658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611732480000).

3994995658752 is an abundant number, since it is smaller than the sum of its proper divisors (11228469301248).

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

3994995658752 is a wasteful number, since it uses less digits than its factorization.

3994995658752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 295 counting only the distinct ones).

The product of its digits is 6613488000, while the sum is 81.

The spelling of 3994995658752 in words is "three trillion, nine hundred ninety-four billion, nine hundred ninety-five million, six hundred fifty-eight thousand, seven hundred fifty-two".