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316408124672 = 2823334715287
BaseRepresentation
bin1001001101010110110…
…01001101010100000000
31010020201000201010100022
410212223121031110000
520141000434442142
6401204512113012
731600613453453
oct4465331152400
91106630633308
10316408124672
11112208157212
12513a4535768
1323ab630c513
141145839149a
15836ce206d2
hex49ab64d500

316408124672 has 72 divisors (see below), whose sum is σ = 636160464576. Its totient is φ = 157060837376.

The previous prime is 316408124671. The next prime is 316408124687. The reversal of 316408124672 is 276421804613.

It is a happy number.

It is a super-2 number, since 2×3164081246722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316408124671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20690213 + ... + 20705499.

It is an arithmetic number, because the mean of its divisors is an integer number (8835562008).

Almost surely, 2316408124672 is an apocalyptic number.

316408124672 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 316408124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318080232288).

316408124672 is an abundant number, since it is smaller than the sum of its proper divisors (319752339904).

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

316408124672 is a wasteful number, since it uses less digits than its factorization.

316408124672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15883 (or 15869 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 316408124672 in words is "three hundred sixteen billion, four hundred eight million, one hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 233 256 347 466 694 932 1388 1864 2776 3728 5552 7456 11104 14912 15287 22208 29824 30574 44416 59648 61148 80851 88832 122296 161702 244592 323404 489184 646808 978368 1293616 1956736 2587232 3561871 3913472 5174464 5304589 7123742 10348928 10609178 14247484 20697856 21218356 28494968 42436712 56989936 84873424 113979872 169746848 227959744 339493696 455919488 678987392 911838976 1235969237 1357974784 2471938474 4943876948 9887753896 19775507792 39551015584 79102031168 158204062336 316408124672