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65139290176 = 266125232
BaseRepresentation
bin111100101010100110…
…101011000001000000
320020010200001210111211
4330222212223001000
52031401124241201
645531413015504
74464132554662
oct745246530100
9206120053454
1065139290176
1125697481914
121075b024594
1361b1407cac
14321d252532
151a63a20651
hexf2a9ab040

65139290176 has 63 divisors (see below), whose sum is σ = 131666297373. Its totient is φ = 31974462720.

The previous prime is 65139290149. The next prime is 65139290207. The reversal of 65139290176 is 67109293156.

The square root of 65139290176 is 255224.

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., 2118208576 + 63021081600 = 46024^2 + 251040^2 .

It is a super-2 number, since 2×651392901762 (a number of 22 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 8 ways as a sum of consecutive naturals, for example, 124549051 + ... + 124549573.

Almost surely, 265139290176 is an apocalyptic number.

65139290176 is the 255224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65139290176

65139290176 is an abundant number, since it is smaller than the sum of its proper divisors (66527007197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65139290176 is an frugal number, since it uses more digits than its factorization.

65139290176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

Multiplying 65139290176 by its sum of digits (49), we get a square (3191825218624 = 17865682).

The spelling of 65139290176 in words is "sixty-five billion, one hundred thirty-nine million, two hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 523 976 1046 1952 2092 3721 3904 4184 7442 8368 14884 16736 29768 31903 33472 59536 63806 119072 127612 238144 255224 273529 510448 547058 1020896 1094116 1946083 2041792 2188232 3892166 4376464 7784332 8752928 15568664 16685269 17505856 31137328 33370538 62274656 66741076 124549312 133482152 266964304 533928608 1017801409 1067857216 2035602818 4071205636 8142411272 16284822544 32569645088 65139290176