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66923103025 = 5231216692
BaseRepresentation
bin111110010100111011…
…011000001100110001
320101201222121212201101
4332110323120030301
52044024303244100
650424414204401
74556262663352
oct762473301461
9211658555641
1066923103025
112642238a909
1210b784b3701
136406b4b25c
14334c113d29
151b1a42c86a
hexf94ed8331

66923103025 has 27 divisors (see below), whose sum is σ = 85799331873. Its totient is φ = 51780391200.

The previous prime is 66923103017. The next prime is 66923103031. The reversal of 66923103025 is 52030132966.

The square root of 66923103025 is 258695.

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 783608049 + 66139494976 = 27993^2 + 257176^2 .

It is not a de Polignac number, because 66923103025 - 23 = 66923103017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40096891 + ... + 40098559.

Almost surely, 266923103025 is an apocalyptic number.

66923103025 is the 258695-th square number.

66923103025 is the 129348-th centered octagonal number.

It is an amenable number.

66923103025 is a deficient number, since it is larger than the sum of its proper divisors (18876228848).

66923103025 is an frugal number, since it uses more digits than its factorization.

66923103025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 66923103025 in words is "sixty-six billion, nine hundred twenty-three million, one hundred three thousand, twenty-five".

Divisors: 1 5 25 31 155 775 961 1669 4805 8345 24025 41725 51739 258695 1293475 1603909 2785561 8019545 13927805 40097725 69639025 86352391 431761955 2158809775 2676924121 13384620605 66923103025