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164311012512 = 2533375139859
BaseRepresentation
bin1001100100000110110…
…0110001010010100000
3120201010010011021102000
42121001230301102200
510143002104400022
6203252231124000
714604531363543
oct2310154612240
9521103137360
10164311012512
1163758312719
1227a17513600
13126574437ba
147d4a2a685a
15441a1996ac
hex2641b314a0

164311012512 has 96 divisors (see below), whose sum is σ = 492192993600. Its totient is φ = 53290047744.

The previous prime is 164311012493. The next prime is 164311012559. The reversal of 164311012512 is 215210113461.

164311012512 is a `hidden beast` number, since 1 + 6 + 43 + 1 + 101 + 2 + 512 = 666.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2537962 + ... + 2601897.

It is an arithmetic number, because the mean of its divisors is an integer number (5127010350).

Almost surely, 2164311012512 is an apocalyptic number.

164311012512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164311012512 is an abundant number, since it is smaller than the sum of its proper divisors (327881981088).

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

164311012512 is a wasteful number, since it uses less digits than its factorization.

164311012512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139915 (or 5139901 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 164311012512 its reverse (215210113461), we get a palindrome (379521125973).

The spelling of 164311012512 in words is "one hundred sixty-four billion, three hundred eleven million, twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968 5139859 10279718 15419577 20559436 30839154 41118872 46258731 61678308 82237744 92517462 123356616 138776193 164475488 185034924 190174783 246713232 277552386 370069848 380349566 493426464 555104772 570524349 740139696 760699132 1110209544 1141048698 1480279392 1521398264 1711573047 2220419088 2282097396 3042796528 3423146094 4440838176 4564194792 5134719141 6085593056 6846292188 9128389584 10269438282 13692584376 18256779168 20538876564 27385168752 41077753128 54770337504 82155506256 164311012512