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11872405680 = 2435175928123
BaseRepresentation
bin10110000111010011…
…01000100010110000
31010122102000200211220
423003221220202300
5143303313440210
65242030505040
7600131532432
oct130351504260
933572020756
1011872405680
115042733123
122374065180
1311728ac025
14808ac6652
15497469c70
hex2c3a688b0

11872405680 has 80 divisors (see below), whose sum is σ = 36826690560. Its totient is φ = 3164062464.

The previous prime is 11872405669. The next prime is 11872405733. The reversal of 11872405680 is 8650427811.

It is a tau number, because it is divible by the number of its divisors (80).

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, 408099 + ... + 436221.

It is an arithmetic number, because the mean of its divisors is an integer number (460333632).

Almost surely, 211872405680 is an apocalyptic number.

11872405680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11872405680 is an abundant number, since it is smaller than the sum of its proper divisors (24954284880).

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

11872405680 is a wasteful number, since it uses less digits than its factorization.

11872405680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29898 (or 29892 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 11872405680 in words is "eleven billion, eight hundred seventy-two million, four hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1759 3518 5277 7036 8795 10554 14072 17590 21108 26385 28123 28144 35180 42216 52770 56246 70360 84369 84432 105540 112492 140615 140720 168738 211080 224984 281230 337476 421845 422160 449968 562460 674952 843690 1124920 1349904 1687380 2249840 3374760 6749520 49468357 98936714 148405071 197873428 247341785 296810142 395746856 494683570 593620284 742025355 791493712 989367140 1187240568 1484050710 1978734280 2374481136 2968101420 3957468560 5936202840 11872405680