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11672480880 = 2432516211779
BaseRepresentation
bin10101101111011101…
…11110110001110000
31010010110211110120200
422313232332301300
5142401123342010
65210125435200
7562153310334
oct126756766160
933113743520
1011672480880
114a4a8a1715
12231910bb00
131140350028
147ca3237c4
15484b27cc0
hex2b7bbec70

11672480880 has 60 divisors (see below), whose sum is σ = 39200084040. Its totient is φ = 3112661376.

The previous prime is 11672480873. The next prime is 11672480893. The reversal of 11672480880 is 8808427611.

11672480880 is a `hidden beast` number, since 1 + 167 + 2 + 480 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8105170 + ... + 8106609.

It is an arithmetic number, because the mean of its divisors is an integer number (653334734).

Almost surely, 211672480880 is an apocalyptic number.

11672480880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11672480880 is an abundant number, since it is smaller than the sum of its proper divisors (27527603160).

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

11672480880 is a wasteful number, since it uses less digits than its factorization.

11672480880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16211798 (or 16211789 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11672480880 in words is "eleven billion, six hundred seventy-two million, four hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16211779 32423558 48635337 64847116 81058895 97270674 129694232 145906011 162117790 194541348 243176685 259388464 291812022 324235580 389082696 486353370 583624044 648471160 729530055 778165392 972706740 1167248088 1296942320 1459060110 1945413480 2334496176 2918120220 3890826960 5836240440 11672480880