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164141065312 = 2577314967369
BaseRepresentation
bin1001100011011110010…
…0011110010001100000
3120200200021101001200021
42120313210132101200
510142130103042222
6203223320403224
714600366014630
oct2306744362140
9520607331607
10164141065312
1163680396894
122798a616514
131262b17c523
147d318a86c0
15440a2c9ac7
hex263791e460

164141065312 has 96 divisors (see below), whose sum is σ = 376894728000. Its totient is φ = 68915847168.

The previous prime is 164141065301. The next prime is 164141065327. The reversal of 164141065312 is 213560141461.

It is a congruent number.

It is an unprimeable number.

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, 2402764 + ... + 2470132.

It is an arithmetic number, because the mean of its divisors is an integer number (3925986750).

Almost surely, 2164141065312 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 164141065312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188447364000).

164141065312 is an abundant number, since it is smaller than the sum of its proper divisors (212753662688).

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

164141065312 is a wasteful number, since it uses less digits than its factorization.

164141065312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67608 (or 67600 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 164141065312 in words is "one hundred sixty-four billion, one hundred forty-one million, sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 149 224 292 298 511 584 596 1022 1043 1168 1192 2044 2086 2336 2384 4088 4172 4768 8176 8344 10877 16352 16688 21754 33376 43508 67369 76139 87016 134738 152278 174032 269476 304556 348064 471583 538952 609112 943166 1077904 1218224 1886332 2155808 2436448 3772664 4917937 7545328 9835874 10037981 15090656 19671748 20075962 34425559 39343496 40151924 68851118 70265867 78686992 80303848 137702236 140531734 157373984 160607696 275404472 281063468 321215392 550808944 562126936 732772613 1101617888 1124253872 1465545226 2248507744 2931090452 5129408291 5862180904 10258816582 11724361808 20517633164 23448723616 41035266328 82070532656 164141065312