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16151436643225 = 5213217236372
BaseRepresentation
bin1110101100001000110010…
…1001001100101110011001
32010012001200101112100121111
43223002030221030232121
54104111120240040400
654203511220540321
73254621441160112
oct353021451145631
963161611470544
1016151436643225
115167870a10974
12198a30b5516a1
139020c65a5c00
143dba3b3dd209
151d0208b8c3ba
hexeb08ca4cb99

16151436643225 has 81 divisors (see below), whose sum is σ = 23043963976677. Its totient is φ = 11222527380480.

The previous prime is 16151436643201. The next prime is 16151436643247. The reversal of 16151436643225 is 52234663415161.

It is a happy number.

The square root of 16151436643225 is 4018885.

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

It can be written as a sum of positive squares in 40 ways, for example, as 6905190939529 + 9246245703696 = 2627773^2 + 3040764^2 .

It is not a de Polignac number, because 16151436643225 - 29 = 16151436642713 is a prime.

It is a super-2 number, since 2×161514366432252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4440866107 + ... + 4440869743.

Almost surely, 216151436643225 is an apocalyptic number.

16151436643225 is the 4018885-th square number.

16151436643225 is the 2009443-rd centered octagonal number.

It is an amenable number.

16151436643225 is a deficient number, since it is larger than the sum of its proper divisors (6892527333452).

16151436643225 is an frugal number, since it uses more digits than its factorization.

16151436643225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 3672 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 49.

Multiplying 16151436643225 by its sum of digits (49), we get a square (791420395518025 = 281321952).

The spelling of 16151436643225 in words is "sixteen trillion, one hundred fifty-one billion, four hundred thirty-six million, six hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 289 325 425 845 1105 1445 2873 3637 3757 4225 5525 7225 14365 18185 18785 47281 48841 61829 71825 90925 93925 236405 244205 309145 614653 803777 1051093 1182025 1221025 1545725 3073265 4018885 5255465 10449101 13227769 13664209 15366325 20094425 26277325 52245505 66138845 68321045 171960997 177634717 224872073 261227525 330694225 341605225 859804985 888173585 1124360365 2235492961 2923336949 3822825241 4299024925 4440867925 5621801825 11177464805 14616684745 19114126205 38003380337 49696728133 55887324025 73083423725 95570631025 190016901685 248483640665 646057465729 950084508425 1242418203325 3230287328645 16151436643225