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316431977472 = 210321323114833
BaseRepresentation
bin1001001101011001101…
…00001100110000000000
31010020202200120222020100
410212230310030300000
520141023041234342
6401211123242400
731601323300242
oct4465464146000
91106680528210
10316431977472
1111221a669176
12513b0519400
1323abb2414c0
141145b600092
158370082e4c
hex49acd0cc00

316431977472 has 264 divisors, whose sum is σ = 1026764784864. Its totient is φ = 93129670656.

The previous prime is 316431977423. The next prime is 316431977473. The reversal of 316431977472 is 274779134613.

It is a happy number.

316431977472 is a `hidden beast` number, since 3 + 164 + 3 + 1 + 9 + 7 + 7 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (316431977473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2698168 + ... + 2813000.

Almost surely, 2316431977472 is an apocalyptic number.

316431977472 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 316431977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513382392432).

316431977472 is an abundant number, since it is smaller than the sum of its proper divisors (710332807392).

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

316431977472 is a wasteful number, since it uses less digits than its factorization.

316431977472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114895 (or 114874 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 316431977472 in words is "three hundred sixteen billion, four hundred thirty-one million, nine hundred seventy-seven thousand, four hundred seventy-two".