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55698360025 = 52721126132
BaseRepresentation
bin110011110111111000…
…011000011011011001
312022202201021212001011
4303313320120123121
51403032240010100
641330521053521
74011154151200
oct636770303331
9168681255034
1055698360025
11216922aa300
12a9653272a1
1353384b53a9
1429a5460237
1516aec97bba
hexcf7e186d9

55698360025 has 81 divisors (see below), whose sum is σ = 88454145213. Its totient is φ = 34664414400.

The previous prime is 55698360017. The next prime is 55698360043. The reversal of 55698360025 is 52006389655.

The square root of 55698360025 is 236005.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32548128921 + 23150231104 = 180411^2 + 152152^2 .

It is not a de Polignac number, because 55698360025 - 23 = 55698360017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 90861619 + ... + 90862231.

Almost surely, 255698360025 is an apocalyptic number.

55698360025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55698360025 is the 236005-th square number.

55698360025 is the 118003-rd centered octagonal number.

It is an amenable number.

55698360025 is a deficient number, since it is larger than the sum of its proper divisors (32755785188).

55698360025 is an equidigital number, since it uses as much as digits as its factorization.

55698360025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 55698360025 by its sum of digits (49), we get a square (2729219641225 = 16520352).

55698360025 divided by its sum of digits (49) gives a square (1136701225 = 337152).

The spelling of 55698360025 in words is "fifty-five billion, six hundred ninety-eight million, three hundred sixty thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 613 847 1225 1925 2695 3025 3065 4235 4291 5929 6743 13475 15325 21175 21455 29645 30037 33715 47201 74173 107275 148225 150185 168575 236005 330407 370865 375769 519211 750925 1180025 1652035 1854325 1878845 2596055 2630383 3634477 4133459 8260175 9394225 12980275 13151915 18172385 18412681 20667295 28934213 45468049 65759575 90861925 92063405 103336475 144671065 202539491 227340245 318276343 460317025 723355325 1012697455 1136701225 1591381715 2227934401 5063487275 7956908575 11139672005 55698360025