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31991601438720 = 213335731121741
BaseRepresentation
bin1110100011000101000000…
…00010100010000000000000
311012021100220201011111021000
413101202200002202000000
513143122244432014340
6152012423325532000
76511213464324000
oct721424002420000
9135240821144230
1031991601438720
11a21461aaa1500
12370822a714000
1314b0a44a03a21
147c858a664000
153a72957cdd30
hex1d18a00a2000

31991601438720 has 5376 divisors, whose sum is σ = 158138676864000. Its totient is φ = 6103970611200.

The previous prime is 31991601438637. The next prime is 31991601438733. The reversal of 31991601438720 is 2783410619913.

31991601438720 is a `hidden beast` number, since 3 + 1 + 9 + 9 + 1 + 601 + 4 + 3 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×319916014387202 (a number of 28 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 780282961900 + ... + 780282961940.

It is an arithmetic number, because the mean of its divisors is an integer number (29415676500).

Almost surely, 231991601438720 is an apocalyptic number.

31991601438720 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 31991601438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79069338432000).

31991601438720 is an abundant number, since it is smaller than the sum of its proper divisors (126147075425280).

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

31991601438720 is a wasteful number, since it uses less digits than its factorization.

31991601438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 31991601438720 in words is "thirty-one trillion, nine hundred ninety-one billion, six hundred one million, four hundred thirty-eight thousand, seven hundred twenty".