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11872665480 = 23351333122993
BaseRepresentation
bin10110000111010101…
…00111111110001000
31010122102111220020010
423003222213332020
5143303400243410
65242040231520
7600133664034
oct130352477610
933572456203
1011872665480
1150428a0335
12237416b5a0
131172970360
14808b531c4
154974bbc20
hex2c3aa7f88

11872665480 has 128 divisors (see below), whose sum is σ = 38475400320. Its totient is φ = 2913546240.

The previous prime is 11872665463. The next prime is 11872665503. The reversal of 11872665480 is 8456627811.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504864 + ... + 527856.

It is an arithmetic number, because the mean of its divisors is an integer number (300589065).

Almost surely, 211872665480 is an apocalyptic number.

11872665480 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 11872665480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237700160).

11872665480 is an abundant number, since it is smaller than the sum of its proper divisors (26602734840).

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

11872665480 is a wasteful number, since it uses less digits than its factorization.

11872665480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23351 (or 23347 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 11872665480 in words is "eleven billion, eight hundred seventy-two million, six hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 331 390 520 662 780 993 1324 1560 1655 1986 2648 3310 3972 4303 4965 6620 7944 8606 9930 12909 13240 17212 19860 21515 22993 25818 34424 39720 43030 45986 51636 64545 68979 86060 91972 103272 114965 129090 137958 172120 183944 229930 258180 275916 298909 344895 459860 516360 551832 597818 689790 896727 919720 1195636 1379580 1494545 1793454 2391272 2759160 2989090 3586908 4483635 5978180 7173816 7610683 8967270 11956360 15221366 17934540 22832049 30442732 35869080 38053415 45664098 60885464 76106830 91328196 98938879 114160245 152213660 182656392 197877758 228320490 296816637 304427320 395755516 456640980 494694395 593633274 791511032 913281960 989388790 1187266548 1484083185 1978777580 2374533096 2968166370 3957555160 5936332740 11872665480