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164568129210 = 232541293152213
BaseRepresentation
bin1001100101000100000…
…1100101111010111010
3120201210000222011012200
42121101001211322322
510144013420113320
6203333534051030
714614103006112
oct2312101457272
9521700864180
10164568129210
116387a467261
1227a89649a76
13126987a8564
147d724b6042
154432a37290
hex2651065eba

164568129210 has 96 divisors (see below), whose sum is σ = 439812002448. Its totient is φ = 42668067840.

The previous prime is 164568129203. The next prime is 164568129221. The reversal of 164568129210 is 12921865461.

164568129210 is a `hidden beast` number, since 1 + 64 + 568 + 1 + 2 + 9 + 21 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26770522689 + 137797606521 = 163617^2 + 371211^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005064 + ... + 1157276.

Almost surely, 2164568129210 is an apocalyptic number.

164568129210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164568129210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219906001224).

164568129210 is an abundant number, since it is smaller than the sum of its proper divisors (275243873238).

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

164568129210 is a wasteful number, since it uses less digits than its factorization.

164568129210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152560 (or 152557 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 164568129210 in words is "one hundred sixty-four billion, five hundred sixty-eight million, one hundred twenty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 293 369 410 586 615 738 879 1230 1465 1758 1845 2637 2930 3690 4395 5274 8790 12013 13185 24026 26370 36039 60065 72078 108117 120130 152213 180195 216234 304426 360390 456639 540585 761065 913278 1081170 1369917 1522130 2283195 2739834 4566390 6240733 6849585 12481466 13699170 18722199 31203665 37444398 44598409 56166597 62407330 89196818 93610995 112333194 133795227 187221990 222992045 267590454 280832985 401385681 445984090 561665970 668976135 802771362 1337952270 1828534769 2006928405 3657069538 4013856810 5485604307 9142673845 10971208614 16456812921 18285347690 27428021535 32913625842 54856043070 82284064605 164568129210