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45148382820 = 22325673743647
BaseRepresentation
bin101010000011000011…
…011010011001100100
311022112110122111000200
4222003003122121210
51214430441222240
632424010310500
73155550631152
oct520303323144
9138473574020
1045148382820
11181690a3282
128900128430
134346894c28
1422842563d2
15129399d930
hexa830da664

45148382820 has 72 divisors (see below), whose sum is σ = 138994162944. Its totient is φ = 11859870528.

The previous prime is 45148382801. The next prime is 45148382827. The reversal of 45148382820 is 2828384154.

45148382820 is a `hidden beast` number, since 451 + 48 + 3 + 82 + 82 + 0 = 666.

It is a super-2 number, since 2×451483828202 (a number of 22 digits) contains 22 as substring.

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 (45148382827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1859764 + ... + 1883883.

Almost surely, 245148382820 is an apocalyptic number.

It is an amenable number.

45148382820 is an abundant number, since it is smaller than the sum of its proper divisors (93845780124).

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

45148382820 is a wasteful number, since it uses less digits than its factorization.

45148382820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743729 (or 3743724 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 45148382820 in words is "forty-five billion, one hundred forty-eight million, three hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 3743647 7487294 11230941 14974588 18718235 22461882 33692823 37436470 44923764 56154705 67385646 74872940 112309410 134771292 168464115 224618820 250824349 336928230 501648698 673856460 752473047 1003297396 1254121745 1504946094 2257419141 2508243490 3009892188 3762365235 4514838282 5016486980 7524730470 9029676564 11287095705 15049460940 22574191410 45148382820