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153169694161 = 1124727572
BaseRepresentation
bin1000111010100110100…
…0000000110111010001
3112122100122210122211121
42032221220000313101
510002142420203121
6154210514042241
714031454630051
oct2165150006721
9478318718747
10153169694161
1159a60332300
1225828279381
13115a0169a33
1475b072b561
153eb6ee3141
hex23a9a00dd1

153169694161 has 27 divisors (see below), whose sum is σ = 172245959067. Its totient is φ = 136102483440.

The previous prime is 153169694143. The next prime is 153169694201. The reversal of 153169694161 is 161496961351.

The square root of 153169694161 is 391369.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94626988225 + 58542705936 = 307615^2 + 241956^2 .

It is not a de Polignac number, because 153169694161 - 25 = 153169694129 is a prime.

It is a super-3 number, since 3×1531696941613 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153169694099 and 153169694108.

It is not an unprimeable number, because it can be changed into a prime (153169694101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202337395 + ... + 202338151.

Almost surely, 2153169694161 is an apocalyptic number.

153169694161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153169694161 is the 391369-th square number.

153169694161 is the 195685-th centered octagonal number.

It is an amenable number.

153169694161 is a deficient number, since it is larger than the sum of its proper divisors (19076264906).

153169694161 is an frugal number, since it uses more digits than its factorization.

153169694161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 815 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 52.

The spelling of 153169694161 in words is "one hundred fifty-three billion, one hundred sixty-nine million, six hundred ninety-four thousand, one hundred sixty-one".

Divisors: 1 11 47 121 517 757 2209 5687 8327 24299 35579 91597 267289 391369 573049 1672213 4305059 6303539 18394343 26933303 69338929 202337773 296266333 1265865241 3258929663 13924517651 153169694161