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31919197741992 = 233211175414382083
BaseRepresentation
bin1110100000111110001000…
…11100010110001110101000
311012000110000202211121100200
413100133010130112032220
513140431004110220432
6151515251011232200
76503041322133111
oct720370434261650
9135013022747320
1031919197741992
11a196945aa2510
1236b61a28a8660
1314a6c765a7c22
147c4c7c709208
153a5459166a7c
hex1d07c47163a8

31919197741992 has 192 divisors, whose sum is σ = 100038770919360. Its totient is φ = 9086685235200.

The previous prime is 31919197741789. The next prime is 31919197742023. The reversal of 31919197741992 is 29914779191913.

It is a happy number.

31919197741992 is a `hidden beast` number, since 3 + 1 + 9 + 19 + 197 + 7 + 419 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 31919197741992.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5092983 + ... + 9475065.

It is an arithmetic number, because the mean of its divisors is an integer number (521035265205).

Almost surely, 231919197741992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31919197741992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50019385459680).

31919197741992 is an abundant number, since it is smaller than the sum of its proper divisors (68119573177368).

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

31919197741992 is a wasteful number, since it uses less digits than its factorization.

31919197741992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382664 (or 4382657 counting only the distinct ones).

The product of its digits is 69441624, while the sum is 72.

The spelling of 31919197741992 in words is "thirty-one trillion, nine hundred nineteen billion, one hundred ninety-seven million, seven hundred forty-one thousand, nine hundred ninety-two".