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1813982909664 = 25329651574321
BaseRepresentation
bin11010011001011001110…
…011101001010011100000
320102102012120212120111210
4122121121303221103200
5214210014111102124
63505155433110120
7245025121216362
oct32313163512340
96372176776453
101813982909664
1163a340075682
1225368b258340
1310209a14c153
1463b238b6d32
15322bc412a29
hex1a659ce94e0

1813982909664 has 48 divisors (see below), whose sum is σ = 4925901874320. Its totient is φ = 583810590720.

The previous prime is 1813982909659. The next prime is 1813982909671. The reversal of 1813982909664 is 4669092893181.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1813982909595 and 1813982909604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325784377 + ... + 325789944.

It is an arithmetic number, because the mean of its divisors is an integer number (102622955715).

Almost surely, 21813982909664 is an apocalyptic number.

It is an amenable number.

1813982909664 is an abundant number, since it is smaller than the sum of its proper divisors (3111918964656).

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

1813982909664 is a wasteful number, since it uses less digits than its factorization.

1813982909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651574363 (or 651574355 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 66.

The spelling of 1813982909664 in words is "one trillion, eight hundred thirteen billion, nine hundred eighty-two million, nine hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 651574321 1303148642 1954722963 2606297284 3909445926 5212594568 7818891852 10425189136 15637783704 18895655309 20850378272 31275567408 37791310618 56686965927 62551134816 75582621236 113373931854 151165242472 226747863708 302330484944 453495727416 604660969888 906991454832 1813982909664