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11460993480 = 2333553200227
BaseRepresentation
bin10101010110010000…
…01110000111001000
31002120201212210102000
422223020032013020
5141433003242410
65133132511000
7554004560106
oct125310160710
932521783360
1011460993480
114951483042
12227a31b460
1311085a3161
147aa1d0c76
1547129edc0
hex2ab20e1c8

11460993480 has 128 divisors (see below), whose sum is σ = 38924323200. Its totient is φ = 2998584576.

The previous prime is 11460993463. The next prime is 11460993487. The reversal of 11460993480 is 8439906411.

11460993480 is a `hidden beast` number, since 1 + 1 + 4 + 609 + 9 + 34 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11460993487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42874 + ... + 157353.

It is an arithmetic number, because the mean of its divisors is an integer number (304096275).

Almost surely, 211460993480 is an apocalyptic number.

11460993480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11460993480 is an abundant number, since it is smaller than the sum of its proper divisors (27463329720).

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

11460993480 is a wasteful number, since it uses less digits than its factorization.

11460993480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200300 (or 200290 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11460993480 in words is "eleven billion, four hundred sixty million, nine hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4770 5724 6360 7155 9540 11448 14310 19080 28620 57240 200227 400454 600681 800908 1001135 1201362 1601816 1802043 2002270 2402724 3003405 3604086 4004540 4805448 5406129 6006810 7208172 8009080 9010215 10612031 10812258 12013620 14416344 18020430 21224062 21624516 24027240 27030645 31836093 36040860 42448124 43249032 53060155 54061290 63672186 72081720 84896248 95508279 106120310 108122580 127344372 159180465 191016558 212240620 216245160 254688744 286524837 318360930 382033116 424481240 477541395 573049674 636721860 764066232 955082790 1146099348 1273443720 1432624185 1910165580 2292198696 2865248370 3820331160 5730496740 11460993480