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12477272480 = 255127677907
BaseRepresentation
bin10111001111011010…
…00001000110100000
31012012120012010002222
423213231001012200
5201023140204410
65422035130212
7621125031461
oct134755010640
935176163088
1012477272480
115323105542
122502743968
13123acbcb8a
14865178d68
154d05e9955
hex2e7b411a0

12477272480 has 96 divisors (see below), whose sum is σ = 29786351616. Its totient is φ = 4938845184.

The previous prime is 12477272459. The next prime is 12477272503. The reversal of 12477272480 is 8427277421.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13756187 + ... + 13757093.

It is an arithmetic number, because the mean of its divisors is an integer number (310274496).

Almost surely, 212477272480 is an apocalyptic number.

12477272480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12477272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893175808).

12477272480 is an abundant number, since it is smaller than the sum of its proper divisors (17309079136).

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

12477272480 is a wasteful number, since it uses less digits than its factorization.

12477272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 44.

It can be divided in two parts, 1247 and 7272480, that added together give a palindrome (7273727).

The spelling of 12477272480 in words is "twelve billion, four hundred seventy-seven million, two hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 677 907 1016 1270 1354 1814 2032 2540 2708 3385 3628 4064 4535 5080 5416 6770 7256 9070 10160 10832 13540 14512 18140 20320 21664 27080 29024 36280 54160 72560 85979 108320 115189 145120 171958 230378 343916 429895 460756 575945 614039 687832 859790 921512 1151890 1228078 1375664 1719580 1843024 2303780 2456156 2751328 3070195 3439160 3686048 4607560 4912312 6140390 6878320 9215120 9824624 12280780 13756640 18430240 19649248 24561560 49123120 77982953 98246240 155965906 311931812 389914765 623863624 779829530 1247727248 1559659060 2495454496 3119318120 6238636240 12477272480