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3125055264 = 253236312243
BaseRepresentation
bin1011101001000100…
…1000111100100000
322001210100020220120
42322101020330200
522400003232024
61234032440240
7140304350202
oct27221107440
98053306816
103125055264
111364015301
127326a9080
133aa58b436
1421907a772
15134547479
hexba448f20

3125055264 has 96 divisors (see below), whose sum is σ = 8577321984. Its totient is φ = 994371840.

The previous prime is 3125055253. The next prime is 3125055317. The reversal of 3125055264 is 4625505213.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392127 + ... + 1394369.

It is an arithmetic number, because the mean of its divisors is an integer number (89347104).

Almost surely, 23125055264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288660992).

3125055264 is an abundant number, since it is smaller than the sum of its proper divisors (5452266720).

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

3125055264 is a wasteful number, since it uses less digits than its factorization.

3125055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 3125055264 is about 55902.1937315523. The cubic root of 3125055264 is about 1462.0174873445.

The spelling of 3125055264 in words is "three billion, one hundred twenty-five million, fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 631 736 1104 1262 1893 2208 2243 2524 3786 4486 5048 6729 7572 8972 10096 13458 14513 15144 17944 20192 26916 29026 30288 35888 43539 51589 53832 58052 60576 71776 87078 103178 107664 116104 154767 174156 206356 215328 232208 309534 348312 412712 464416 619068 696624 825424 1238136 1393248 1415333 1650848 2476272 2830666 4245999 4952544 5661332 8491998 11322664 16983996 22645328 32552659 33967992 45290656 65105318 67935984 97657977 130210636 135871968 195315954 260421272 390631908 520842544 781263816 1041685088 1562527632 3125055264