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316064086752 = 25373346913001
BaseRepresentation
bin1001001100101101110…
…00110011101011100000
31010012211001100012001010
410212112320303223200
520134244401234002
6401110422140520
731556235260451
oct4462670635340
91105731305033
10316064086752
11112050a34457
1251309281740
1323a5cc62c9b
14114247d7128
15834cb1346c
hex4996e33ae0

316064086752 has 96 divisors (see below), whose sum is σ = 841340697120. Its totient is φ = 103873536000.

The previous prime is 316064086739. The next prime is 316064086763. The reversal of 316064086752 is 257680460613.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24304252 + ... + 24317252.

It is an arithmetic number, because the mean of its divisors is an integer number (8763965595).

Almost surely, 2316064086752 is an apocalyptic number.

316064086752 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 316064086752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420670348560).

316064086752 is an abundant number, since it is smaller than the sum of its proper divisors (525276610368).

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

316064086752 is a wasteful number, since it uses less digits than its factorization.

316064086752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 316064086752 in words is "three hundred sixteen billion, sixty-four million, eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3469 3504 6938 7008 10407 13001 13876 20814 26002 27752 39003 41628 52004 55504 78006 83256 104008 111008 156012 166512 208016 253237 312024 333024 416032 506474 624048 759711 949073 1012948 1248096 1519422 1898146 2025896 2847219 3038844 3796292 4051792 5694438 6077688 7592584 8103584 11388876 12155376 15185168 22777752 24310752 30370336 45100469 45555504 90200938 91111008 135301407 180401876 270602814 360803752 541205628 721607504 1082411256 1443215008 2164822512 3292334237 4329645024 6584668474 9877002711 13169336948 19754005422 26338673896 39508010844 52677347792 79016021688 105354695584 158032043376 316064086752