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151916755225 = 5213725692
BaseRepresentation
bin1000110101111011110…
…0011011100100011001
3112112010100011202201211
42031132330123210121
54442111142131400
6153442315143121
713655432053624
oct2153674334431
9475110152654
10151916755225
1159478058784
1225538744aa1
13114306cb551
1474d217adbb
153e41eebdba
hex235ef1b919

151916755225 has 27 divisors (see below), whose sum is σ = 190095912727. Its totient is φ = 120434266880.

The previous prime is 151916755183. The next prime is 151916755241. The reversal of 151916755225 is 522557619151.

The square root of 151916755225 is 389765.

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

It can be written as a sum of positive squares in 13 ways, for example, as 132661307529 + 19255447696 = 364227^2 + 138764^2 .

It is a de Polignac number, because none of the positive numbers 2k-151916755225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 266988741 + ... + 266989309.

Almost surely, 2151916755225 is an apocalyptic number.

151916755225 is the 389765-th square number.

151916755225 is the 194883-rd centered octagonal number.

It is an amenable number.

151916755225 is a deficient number, since it is larger than the sum of its proper divisors (38179157502).

151916755225 is an frugal number, since it uses more digits than its factorization.

151916755225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its digits is 945000, while the sum is 49.

Multiplying 151916755225 by its sum of digits (49), we get a square (7443921006025 = 27283552).

The spelling of 151916755225 in words is "one hundred fifty-one billion, nine hundred sixteen million, seven hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 137 569 685 2845 3425 14225 18769 77953 93845 323761 389765 469225 1618805 1948825 8094025 10679561 44355257 53397805 221776285 266989025 1108881425 6076670209 30383351045 151916755225