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315394280064 = 27363379997
BaseRepresentation
bin1001001011011101111…
…01101100101010000000
31010011002100222111000000
410211232331230222000
520131411413430224
6400520134000000
731533523101333
oct4455675545200
91104070874000
10315394280064
11111837937806
1251160aa6000
1323984265876
141139d87c61a
15830de070c9
hex496ef6ca80

315394280064 has 112 divisors (see below), whose sum is σ = 942056142570. Its totient is φ = 105131395584.

The previous prime is 315394280051. The next prime is 315394280081. The reversal of 315394280064 is 460082493513.

315394280064 is a `hidden beast` number, since 31 + 539 + 4 + 2 + 80 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208308262464 + 107086017600 = 456408^2 + 327240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1596687 + ... + 1783310.

Almost surely, 2315394280064 is an apocalyptic number.

It is an amenable number.

315394280064 is an abundant number, since it is smaller than the sum of its proper divisors (626661862506).

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

315394280064 is an frugal number, since it uses more digits than its factorization.

315394280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380029 (or 3380002 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 315394280064 in words is "three hundred fifteen billion, three hundred ninety-four million, two hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 3379997 6759994 10139991 13519988 20279982 27039976 30419973 40559964 54079952 60839946 81119928 91259919 108159904 121679892 162239856 182519838 216319808 243359784 273779757 324479712 365039676 432639616 486719568 547559514 648959424 730079352 821339271 973439136 1095119028 1297918848 1460158704 1642678542 1946878272 2190238056 2464017813 2920317408 3285357084 3893756544 4380476112 4928035626 5840634816 6570714168 8760952224 9856071252 11681269632 13141428336 17521904448 19712142504 26282856672 35043808896 39424285008 52565713344 78848570016 105131426688 157697140032 315394280064