Search a number
-
+
164700504032 = 2545721535231
BaseRepresentation
bin1001100101100011101…
…0100011111111100000
3120202010021001111022212
42121120322203333200
510144301312112112
6203355023221252
714620301120411
oct2313072437740
9522107044285
10164700504032
1163938160439
1227b05a47828
13126ba045c5c
147d85cd3808
15443e484522
hex2658ea3fe0

164700504032 has 48 divisors (see below), whose sum is σ = 325176731712. Its totient is φ = 82116188160.

The previous prime is 164700504019. The next prime is 164700504037. The reversal of 164700504032 is 230405007461.

164700504032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 164700504032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164700504037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31482857 + ... + 31488087.

It is an arithmetic number, because the mean of its divisors is an integer number (6774515244).

Almost surely, 2164700504032 is an apocalyptic number.

It is an amenable number.

164700504032 is a deficient number, since it is larger than the sum of its proper divisors (160476227680).

164700504032 is a wasteful number, since it uses less digits than its factorization.

164700504032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 164700504032 in words is "one hundred sixty-four billion, seven hundred million, five hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 457 914 1828 2153 3656 4306 5231 7312 8612 10462 14624 17224 20924 34448 41848 68896 83696 167392 983921 1967842 2390567 3935684 4781134 7871368 9562268 11262343 15742736 19124536 22524686 31485472 38249072 45049372 76498144 90098744 180197488 360394976 5146890751 10293781502 20587563004 41175126008 82350252016 164700504032