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5115504015504 = 2432172110872
BaseRepresentation
bin100101001110000101111…
…0011001011100010010000
3200010001000021022001122100
41022130023303023202100
51132303023011444004
614514010300240400
71035403646460051
oct112341363134220
920101007261570
105115504015504
1116a2522723a13
126a7503b40100
132b150b97c77c
1413983d94a728
158d0ecb2d739
hex4a70bccb890

5115504015504 has 135 divisors (see below), whose sum is σ = 15209351256697. Its totient is φ = 1604719252992.

The previous prime is 5115504015499. The next prime is 5115504015527. The reversal of 5115504015504 is 4055104055115.

The square root of 5115504015504 is 2261748.

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

5115504015504 is a `hidden beast` number, since 5 + 1 + 1 + 550 + 40 + 15 + 50 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3982658835600 + 1132845179904 = 1995660^2 + 1064352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

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, 461391049 + ... + 461402135.

Almost surely, 25115504015504 is an apocalyptic number.

5115504015504 is the 2261748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5115504015504

5115504015504 is an abundant number, since it is smaller than the sum of its proper divisors (10093847241193).

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

5115504015504 is an equidigital number, since it uses as much as digits as its factorization.

5115504015504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22222 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

Multiplying 5115504015504 by its sum of digits (36), we get a square (184158144558144 = 135704882).

5115504015504 divided by its sum of digits (36) gives a square (142097333764 = 3769582).

The spelling of 5115504015504 in words is "five trillion, one hundred fifteen billion, five hundred four million, fifteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 6936 10404 11087 13872 20808 22174 33261 41616 44348 66522 88696 99783 133044 177392 188479 199566 266088 376958 399132 532176 565437 753916 798264 1130874 1507832 1596528 1696311 2261748 3015664 3204143 3392622 4523496 6408286 6785244 9046992 9612429 12816572 13570488 19224858 25633144 27140976 28837287 38449716 51266288 57674574 76899432 115349148 122921569 153798864 230698296 245843138 368764707 461396592 491686276 737529414 983372552 1106294121 1475058828 1966745104 2089666673 2212588242 2950117656 4179333346 4425176484 5900235312 6269000019 8358666692 8850352968 12538000038 16717333384 17700705936 18807000057 25076000076 33434666768 35524333441 37614000114 50152000152 71048666882 75228000228 100304000304 106573000323 142097333764 150456000456 213146000646 284194667528 300912000912 319719000969 426292001292 568389335056 639438001938 852584002584 1278876003876 1705168005168 2557752007752 5115504015504