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1993699411704 = 233574111329103
BaseRepresentation
bin11101000000110001101…
…111101100011011111000
321001121002100011210200000
4131000301233230123320
5230131044022133304
64123520505313000
7264016505250000
oct35006157543370
97047070153600
101993699411704
116a9583384620
12282485a95760
1311600b122b10
146c6d1b97000
1536cd9cbb939
hex1d031bec6f8

1993699411704 has 1920 divisors, whose sum is σ = 8016219993600. Its totient is φ = 457045908480.

The previous prime is 1993699411681. The next prime is 1993699411723. The reversal of 1993699411704 is 4071149963991.

1993699411704 is a `hidden beast` number, since 1 + 9 + 93 + 69 + 9 + 411 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 19356304917 + ... + 19356305019.

It is an arithmetic number, because the mean of its divisors is an integer number (4175114580).

Almost surely, 21993699411704 is an apocalyptic number.

1993699411704 is a gapful number since it is divisible by the number (14) 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 1993699411704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008109996800).

1993699411704 is an abundant number, since it is smaller than the sum of its proper divisors (6022520581896).

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

1993699411704 is a wasteful number, since it uses less digits than its factorization.

1993699411704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 1993699411704 in words is "one trillion, nine hundred ninety-three billion, six hundred ninety-nine million, four hundred eleven thousand, seven hundred four".