Search a number
-
+
10164697788 = 22372130313267
BaseRepresentation
bin10010111011101110…
…01111101010111100
3222020101200011000110
421131313033222330
5131304130312123
64400344430020
7506614335300
oct113567175274
928211604013
1010164697788
114346785993
121b78178310
13c5cb6429b
146c5d95d00
153e7592493
hex25ddcfabc

10164697788 has 72 divisors (see below), whose sum is σ = 27613149312. Its totient is φ = 2901751776.

The previous prime is 10164697733. The next prime is 10164697793. The reversal of 10164697788 is 88779646101.

It is a happy number.

It is a super-2 number, since 2×101646977882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759531 + ... + 772797.

Almost surely, 210164697788 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 10164697788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806574656).

10164697788 is an abundant number, since it is smaller than the sum of its proper divisors (17448451524).

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

10164697788 is a wasteful number, since it uses less digits than its factorization.

10164697788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14591 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 10164697788 in words is "ten billion, one hundred sixty-four million, six hundred ninety-seven thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1303 2606 3909 5212 7818 9121 13267 15636 18242 26534 27363 36484 39801 53068 54726 63847 79602 92869 109452 127694 159204 185738 191541 255388 278607 371476 383082 557214 650083 766164 1114428 1300166 1950249 2600332 3900498 7800996 17286901 34573802 51860703 69147604 103721406 121008307 207442812 242016614 363024921 484033228 726049842 847058149 1452099684 1694116298 2541174447 3388232596 5082348894 10164697788