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12480480316815 = 3572295031164067
BaseRepresentation
bin1011010110011101011010…
…0110001000110110001111
31122012010022010120011120220
42311213112212020312033
53113440010430114230
642313241542442423
72425453636222500
oct265472646106617
948163263504526
1012480480316815
113a81a3a856425
121496973733413
136c6b9a815964
143120b662aba7
151699a5063d10
hexb59d6988d8f

12480480316815 has 96 divisors (see below), whose sum is σ = 24077768762880. Its totient is φ = 5497669529856.

The previous prime is 12480480316789. The next prime is 12480480316819. The reversal of 12480480316815 is 51861308408421.

It is a happy number.

It is not a de Polignac number, because 12480480316815 - 28 = 12480480316559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480480316819) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10139412 + ... + 11303478.

It is an arithmetic number, because the mean of its divisors is an integer number (250810091280).

Almost surely, 212480480316815 is an apocalyptic number.

12480480316815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12480480316815 is a deficient number, since it is larger than the sum of its proper divisors (11597288446065).

12480480316815 is a wasteful number, since it uses less digits than its factorization.

12480480316815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164621 (or 1164614 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 12480480316815 in words is "twelve trillion, four hundred eighty billion, four hundred eighty million, three hundred sixteen thousand, eight hundred fifteen".

Divisors: 1 3 5 7 15 21 29 35 49 87 105 145 147 203 245 435 503 609 735 1015 1421 1509 2515 3045 3521 4263 7105 7545 10563 14587 17605 21315 24647 43761 52815 72935 73941 102109 123235 218805 306327 369705 510545 714763 1164067 1531635 2144289 3492201 3573815 5820335 8148469 10721445 17461005 24445407 33757943 40742345 57039283 101273829 122227035 168789715 171117849 236305601 285196415 506369145 585525701 708916803 855589245 1181528005 1654139207 1756577103 2927628505 3544584015 4098679907 4962417621 8270696035 8782885515 12296039721 16980245329 20493399535 24812088105 28690759349 50940735987 61480198605 84901226645 86072278047 118861717303 143453796745 254703679935 356585151909 430361390235 594308586515 832032021121 1782925759545 2496096063363 4160160105605 12480480316815