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11140628464 = 247821121157
BaseRepresentation
bin10100110000000100…
…00111111111110000
31001202102001120020001
422120002013333300
5140304000102324
65041250155344
7543034531240
oct123002077760
931672046201
1011140628464
1147a765a069
1221aab82b54
1310870c4a64
14779839b20
154530bbe44
hex298087ff0

11140628464 has 40 divisors (see below), whose sum is σ = 24698785248. Its totient is φ = 4768700160.

The previous prime is 11140628431. The next prime is 11140628467. The reversal of 11140628464 is 46482604111.

It is a super-2 number, since 2×111406284642 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140628467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31374 + ... + 152530.

Almost surely, 211140628464 is an apocalyptic number.

11140628464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11140628464 is an abundant number, since it is smaller than the sum of its proper divisors (13558156784).

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

11140628464 is a wasteful number, since it uses less digits than its factorization.

11140628464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121993 (or 121987 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 11140628464 in words is "eleven billion, one hundred forty million, six hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 821 1642 3284 5747 6568 11494 13136 22988 45976 91952 121157 242314 484628 848099 969256 1696198 1938512 3392396 6784792 13569584 99469897 198939794 397879588 696289279 795759176 1392578558 1591518352 2785157116 5570314232 11140628464