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12399406760 = 23513131191953
BaseRepresentation
bin10111000110000111…
…11110111010101000
31012000010200010102102
423203003332322220
5200343222004020
65410214152532
7616161134636
oct134303767250
935003603372
1012399406760
115293161904
1224a0652748
131227b290a0
14858aaa356
154c8868475
hex2e30feea8

12399406760 has 128 divisors (see below), whose sum is σ = 30464501760. Its totient is φ = 4514764800.

The previous prime is 12399406709. The next prime is 12399406787. The reversal of 12399406760 is 6760499321.

It is a happy number.

Together with 18065094999 it forms a betrothed pair.

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 31 ways as a sum of consecutive naturals, for example, 13010444 + ... + 13011396.

It is an arithmetic number, because the mean of its divisors is an integer number (238003920).

Almost surely, 212399406760 is an apocalyptic number.

12399406760 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 12399406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232250880).

12399406760 is an abundant number, since it is smaller than the sum of its proper divisors (18065095000).

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

12399406760 is a wasteful number, since it uses less digits than its factorization.

12399406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 12399406760 in words is "twelve billion, three hundred ninety-nine million, four hundred six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 191 260 262 382 520 524 655 764 953 955 1048 1310 1528 1703 1906 1910 2483 2620 3406 3812 3820 4765 4966 5240 6812 7624 7640 8515 9530 9932 12389 12415 13624 17030 19060 19864 24778 24830 25021 34060 38120 49556 49660 50042 61945 68120 99112 99320 100084 123890 124843 125105 182023 200168 247780 249686 250210 325273 364046 495560 499372 500420 624215 650546 728092 910115 998744 1000840 1248430 1301092 1456184 1622959 1626365 1820230 2366299 2496860 2602184 3245918 3252730 3640460 4732598 4993720 6491836 6505460 7280920 8114795 9465196 11831495 12983672 13010920 16229590 18930392 23662990 23845013 32459180 47325980 47690026 64918360 94651960 95380052 119225065 190760104 238450130 309985169 476900260 619970338 953800520 1239940676 1549925845 2479881352 3099851690 6199703380 12399406760