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11520514644432 = 2431791427939623
BaseRepresentation
bin1010011110100101010000…
…1011101101100111010000
31111210100110110210022020120
42213221110023231213100
53002223003222110212
640300241254510240
72266221043515663
oct247512413554720
944710413708216
1011520514644432
1137419061a5402
121360905065380
136574c275b391
142bb84b1696da
1514ea1d31588c
hexa7a542ed9d0

11520514644432 has 80 divisors (see below), whose sum is σ = 29948598167040. Its totient is φ = 3816037968256.

The previous prime is 11520514644413. The next prime is 11520514644461. The reversal of 11520514644432 is 23444641502511.

11520514644432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11790973 + ... + 12730595.

It is an arithmetic number, because the mean of its divisors is an integer number (374357477088).

Almost surely, 211520514644432 is an apocalyptic number.

11520514644432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11520514644432 is an abundant number, since it is smaller than the sum of its proper divisors (18428083522608).

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

11520514644432 is a wasteful number, since it uses less digits than its factorization.

11520514644432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941240 (or 941234 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 11520514644432 in words is "eleven trillion, five hundred twenty billion, five hundred fourteen million, six hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1427 1432 2148 2854 2864 4281 4296 5708 8562 8592 11416 17124 22832 34248 68496 255433 510866 766299 939623 1021732 1532598 1879246 2043464 2818869 3065196 3758492 4086928 5637738 6130392 7516984 11275476 12260784 15033968 22550952 45101904 168192517 336385034 504577551 672770068 1009155102 1340842021 1345540136 2018310204 2681684042 2691080272 4022526063 4036620408 5363368084 8045052126 8073240816 10726736168 16090104252 21453472336 32180208504 64360417008 240010721759 480021443518 720032165277 960042887036 1440064330554 1920085774072 2880128661108 3840171548144 5760257322216 11520514644432