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12268132440 = 2335193352889
BaseRepresentation
bin10110110110011110…
…01101100001011000
31011122222122200220120
423123033031201120
5200111120214230
65345204353240
7613005255654
oct133317154130
934588580816
1012268132440
11522604a533
1224646a5820
131206885585
14845497a64
154bc087310
hex2db3cd858

12268132440 has 64 divisors (see below), whose sum is σ = 36824133600. Its totient is φ = 3269747712.

The previous prime is 12268132427. The next prime is 12268132451. The reversal of 12268132440 is 4423186221.

It is a congruent number.

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, 205516 + ... + 258404.

Almost surely, 212268132440 is an apocalyptic number.

12268132440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12268132440 is an abundant number, since it is smaller than the sum of its proper divisors (24556001160).

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

12268132440 is a wasteful number, since it uses less digits than its factorization.

12268132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54836 (or 54832 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 12268132440 in words is "twelve billion, two hundred sixty-eight million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1933 3866 5799 7732 9665 11598 15464 19330 23196 28995 38660 46392 52889 57990 77320 105778 115980 158667 211556 231960 264445 317334 423112 528890 634668 793335 1057780 1269336 1586670 2115560 3173340 6346680 102234437 204468874 306703311 408937748 511172185 613406622 817875496 1022344370 1226813244 1533516555 2044688740 2453626488 3067033110 4089377480 6134066220 12268132440