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164194614045 = 32571147386613
BaseRepresentation
bin1001100011101011000…
…0101111101100011101
3120200211000010121201200
42120322300233230131
510142232310122140
6203232512230113
714601616122450
oct2307260575435
9520730117650
10164194614045
11636a8640840
12279a453b339
13126392aac77
147d38a47497
15440ed56030
hex263ac2fb1d

164194614045 has 48 divisors (see below), whose sum is σ = 354830965632. Its totient is φ = 68236721280.

The previous prime is 164194614041. The next prime is 164194614091. The reversal of 164194614045 is 540416491461.

164194614045 is a `hidden beast` number, since 16 + 4 + 19 + 4 + 614 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 164194614045 - 22 = 164194614041 is a prime.

It is a super-2 number, since 2×1641946140452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164194614041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23689842 + ... + 23696771.

It is an arithmetic number, because the mean of its divisors is an integer number (7392311784).

Almost surely, 2164194614045 is an apocalyptic number.

164194614045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164194614045 is an abundant number, since it is smaller than the sum of its proper divisors (190636351587).

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

164194614045 is a wasteful number, since it uses less digits than its factorization.

164194614045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47386642 (or 47386639 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 164194614045 in words is "one hundred sixty-four billion, one hundred ninety-four million, six hundred fourteen thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 47386613 142159839 236933065 331706291 426479517 521252743 710799195 995118873 1563758229 1658531455 2132397585 2606263715 2985356619 3648769201 4691274687 4975594365 7818791145 10946307603 14926783095 18243846005 23456373435 32838922809 54731538015 164194614045