Search a number
-
+
164276477008 = 24737193205399
BaseRepresentation
bin1001100011111110100…
…1000001110001010000
3120201000201011200121021
42120333221001301100
510142414234231013
6203244555005224
714603632005130
oct2307751016120
9521021150537
10164276477008
116373a874686
1227a07a39814
13126502412a7
147d45876ac0
154417126a8d
hex263fa41c50

164276477008 has 80 divisors (see below), whose sum is σ = 375523782400. Its totient is φ = 68146126848.

The previous prime is 164276477003. The next prime is 164276477021. The reversal of 164276477008 is 800774672461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164276477003) by changing a digit.

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, 697093 + ... + 902491.

It is an arithmetic number, because the mean of its divisors is an integer number (4694047280).

Almost surely, 2164276477008 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 164276477008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187761891200).

164276477008 is an abundant number, since it is smaller than the sum of its proper divisors (211247305392).

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

164276477008 is a wasteful number, since it uses less digits than its factorization.

164276477008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205644 (or 205638 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 52.

The spelling of 164276477008 in words is "one hundred sixty-four billion, two hundred seventy-six million, four hundred seventy-seven thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 193 259 296 386 518 592 772 1036 1351 1544 2072 2702 3088 4144 5404 7141 10808 14282 21616 28564 49987 57128 99974 114256 199948 205399 399896 410798 799792 821596 1437793 1643192 2875586 3286384 5751172 7599763 11502344 15199526 23004688 30399052 39642007 53198341 60798104 79284014 106396682 121596208 158568028 212793364 277494049 317136056 425586728 554988098 634272112 851173456 1109976196 1466754259 2219952392 2933508518 4439904784 5867017036 10267279813 11734034072 20534559626 23468068144 41069119252 82138238504 164276477008