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54532640100 = 22352367495301
BaseRepresentation
bin110010110010011001…
…100000110101100100
312012202110210010221010
4302302121200311210
51343140323440400
641015115422220
73640240535631
oct626231406544
9165673703833
1054532640100
1121144287704
12a69aa54970
1351b0b340a3
1428d46d5188
15164277e450
hexcb2660d64

54532640100 has 72 divisors (see below), whose sum is σ = 158211346048. Its totient is φ = 14502384000.

The previous prime is 54532640083. The next prime is 54532640117. The reversal of 54532640100 is 104623545.

It is an interprime number because it is at equal distance from previous prime (54532640083) and next prime (54532640117).

It is a super-2 number, since 2×545326401002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137551 + ... + 357750.

Almost surely, 254532640100 is an apocalyptic number.

54532640100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54532640100 is an abundant number, since it is smaller than the sum of its proper divisors (103678705948).

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

54532640100 is a wasteful number, since it uses less digits than its factorization.

54532640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495685 (or 495678 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 54532640100 in words is "fifty-four billion, five hundred thirty-two million, six hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 734 1101 1468 1835 2202 3670 4404 5505 7340 9175 11010 18350 22020 27525 36700 55050 110100 495301 990602 1485903 1981204 2476505 2971806 4953010 5943612 7429515 9906020 12382525 14859030 24765050 29718060 37147575 49530100 74295150 148590300 181775467 363550934 545326401 727101868 908877335 1090652802 1817754670 2181305604 2726632005 3635509340 4544386675 5453264010 9088773350 10906528020 13633160025 18177546700 27266320050 54532640100