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316106465456 = 24177983177239
BaseRepresentation
bin1001001100110010110…
…10011110000010110000
31010012221000002020200202
410212121122132002300
520134341223343311
6401114534334332
731560261423515
oct4463132360260
91105830066622
10316106465456
1111207294a181
125131b4ba3a8
1323a68980442
141142a2a930c
1583516d4e3b
hex499969e0b0

316106465456 has 80 divisors (see below), whose sum is σ = 664607462400. Its totient is φ = 145102623744.

The previous prime is 316106465413. The next prime is 316106465459. The reversal of 316106465456 is 654564601613.

It is a self number, because there is not a number n which added to its sum of digits gives 316106465456.

It is not an unprimeable number, because it can be changed into a prime (316106465459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1694885 + ... + 1872123.

It is an arithmetic number, because the mean of its divisors is an integer number (8307593280).

Almost surely, 2316106465456 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 316106465456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332303731200).

316106465456 is an abundant number, since it is smaller than the sum of its proper divisors (348500996944).

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

316106465456 is a wasteful number, since it uses less digits than its factorization.

316106465456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177426 (or 177420 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 316106465456 in words is "three hundred sixteen billion, one hundred six million, four hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 79 83 136 158 166 272 316 332 632 664 1264 1328 1343 1411 2686 2822 5372 5644 6557 10744 11288 13114 21488 22576 26228 52456 104912 111469 177239 222938 354478 445876 708956 891752 1417912 1783504 2835824 3013063 6026126 12052252 14001881 14710837 24104504 28003762 29421674 48209008 56007524 58843348 112015048 117686696 224030096 235373392 238031977 250084229 476063954 500168458 952127908 1000336916 1162156123 1904255816 2000673832 2324312246 3808511632 4001347664 4648624492 9297248984 18594497968 19756654091 39513308182 79026616364 158053232728 316106465456