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169132320049 = 761121092
BaseRepresentation
bin1001110110000100010…
…0100110010100110001
3121011120010022001222211
42131201010212110301
510232340333220144
6205410500332121
715135154000000
oct2354104462461
9534503261884
10169132320049
1165801870400
12289420a4041
1312c452686b4
148286730c37
1545ed5a5034
hex2761126531

169132320049 has 63 divisors (see below), whose sum is σ = 218897875371. Its totient is φ = 130582322640.

The previous prime is 169132320041. The next prime is 169132320073. The reversal of 169132320049 is 940023231961.

The square root of 169132320049 is 411257.

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., 117884415649 + 51247904400 = 343343^2 + 226380^2 .

It is not a de Polignac number, because 169132320049 - 23 = 169132320041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 169132319993 and 169132320020.

It is not an unprimeable number, because it can be changed into a prime (169132320041) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1551672607 + ... + 1551672715.

Almost surely, 2169132320049 is an apocalyptic number.

169132320049 is the 411257-th square number.

169132320049 is the 205629-th centered octagonal number.

It is an amenable number.

169132320049 is a deficient number, since it is larger than the sum of its proper divisors (49765555322).

169132320049 is an frugal number, since it uses more digits than its factorization.

169132320049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 169132320049 in words is "one hundred sixty-nine billion, one hundred thirty-two million, three hundred twenty thousand, forty-nine".

Divisors: 1 7 11 49 77 109 121 343 539 763 847 1199 2401 3773 5341 5929 8393 11881 13189 16807 26411 37387 41503 58751 83167 92323 117649 130691 184877 261709 290521 411257 582169 646261 914837 1294139 1437601 1831963 2033647 2878799 4075183 4523827 6403859 10063207 12823741 14235529 20151593 28526281 31666789 44827013 70442449 141061151 199683967 221667523 313789091 493097143 1397787769 1551672661 2196523637 3451680001 15375665459 24161760007 169132320049