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1851137119225 = 52232118312
BaseRepresentation
bin11010111100000000010…
…111101101001111111001
320112222002221001222102101
4122330000113231033321
5220312112100303400
63534222312503401
7250511621616142
oct32740027551771
96488087058371
101851137119225
11654076710199
1225a91a0aab61
1310573b761134
146584a140ac9
153324416756a
hex1af005ed3f9

1851137119225 has 27 divisors (see below), whose sum is σ = 2399752449199. Its totient is φ = 1416402587600.

The previous prime is 1851137119213. The next prime is 1851137119241. The reversal of 1851137119225 is 5229117311581.

The square root of 1851137119225 is 1360565.

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., 666409362921 + 1184727756304 = 816339^2 + 1088452^2 .

It is not a de Polignac number, because 1851137119225 - 29 = 1851137118713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156459060 + ... + 156470890.

Almost surely, 21851137119225 is an apocalyptic number.

1851137119225 is the 1360565-th square number.

1851137119225 is the 680283-rd centered octagonal number.

It is an amenable number.

1851137119225 is a deficient number, since it is larger than the sum of its proper divisors (548615329974).

1851137119225 is an frugal number, since it uses more digits than its factorization.

1851137119225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23718 (or 11859 counting only the distinct ones).

The product of its digits is 151200, while the sum is 46.

The spelling of 1851137119225 in words is "one trillion, eight hundred fifty-one billion, one hundred thirty-seven million, one hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 11831 13225 59155 272113 295775 1360565 6258599 6802825 31292995 139972561 156464975 699862805 3219368903 3499314025 16096844515 74045484769 80484222575 370227423845 1851137119225