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164327503270600 = 23521777362524733
BaseRepresentation
bin100101010111010001111010…
…011101011001001011001000
3210112211120000020120200110001
4211113101322131121023020
5133014320211314124400
61341255002434532344
746420161502151035
oct4527217235311310
9715746006520401
10164327503270600
11483a59a265044a
121651b9304370b4
13709002b65ac77
142c816ca5d638c
1513ee807333a6a
hex95747a7592c8

164327503270600 has 96 divisors (see below), whose sum is σ = 405058986250920. Its totient is φ = 61784439173120.

The previous prime is 164327503270573. The next prime is 164327503270631. The reversal of 164327503270600 is 6072305723461.

164327503270600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2927705790916 + 161399797479684 = 1711054^2 + 12704322^2 .

It is a super-2 number, since 2×1643275032706002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28634167 + ... + 33890566.

Almost surely, 2164327503270600 is an apocalyptic number.

164327503270600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164327503270600 is an abundant number, since it is smaller than the sum of its proper divisors (240731482980320).

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

164327503270600 is a wasteful number, since it uses less digits than its factorization.

164327503270600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62525539 (or 62525530 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 164327503270600 in words is "one hundred sixty-four trillion, three hundred twenty-seven billion, five hundred three million, two hundred seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 773 850 1546 1700 3092 3400 3865 6184 7730 13141 15460 19325 26282 30920 38650 52564 65705 77300 105128 131410 154600 262820 328525 525640 657050 1314100 2628200 62524733 125049466 250098932 312623665 500197864 625247330 1062920461 1250494660 1563118325 2125840922 2500989320 3126236650 4251681844 5314602305 6252473300 8503363688 10629204610 12504946600 21258409220 26573011525 42516818440 48331618609 53146023050 96663237218 106292046100 193326474436 212584092200 241658093045 386652948872 483316186090 821637516353 966632372180 1208290465225 1643275032706 1933264744360 2416580930450 3286550065412 4108187581765 4833161860900 6573100130824 8216375163530 9666323721800 16432750327060 20540937908825 32865500654120 41081875817650 82163751635300 164327503270600