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164170323776 = 2631827100057
BaseRepresentation
bin1001100011100101010…
…0000101011101000000
3120200202022102112202002
42120321110011131000
510142210100330101
6203230243443132
714601202504364
oct2307124053500
9520668375662
10164170323776
1163695960138
12279983864a8
1312634254b24
147d357232a4
15440cb58d6b
hex2639505740

164170323776 has 56 divisors (see below), whose sum is σ = 336694369536. Its totient is φ = 79340405760.

The previous prime is 164170323743. The next prime is 164170323791. The reversal of 164170323776 is 677323071461.

It is a self number, because there is not a number n which added to its sum of digits gives 164170323776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1590740 + ... + 1690796.

It is an arithmetic number, because the mean of its divisors is an integer number (6012399456).

Almost surely, 2164170323776 is an apocalyptic number.

164170323776 is a gapful number since it is divisible by the number (16) 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 164170323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168347184768).

164170323776 is an abundant number, since it is smaller than the sum of its proper divisors (172524045760).

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

164170323776 is a wasteful number, since it uses less digits than its factorization.

164170323776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100927 (or 100917 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 47.

The spelling of 164170323776 in words is "one hundred sixty-four billion, one hundred seventy million, three hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 827 992 1654 1984 3308 6616 13232 25637 26464 51274 52928 100057 102548 200114 205096 400228 410192 800456 820384 1600912 1640768 3101767 3201824 6203534 6403648 12407068 24814136 49628272 82747139 99256544 165494278 198513088 330988556 661977112 1323954224 2565161309 2647908448 5130322618 5295816896 10260645236 20521290472 41042580944 82085161888 164170323776