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45842459913630 = 235522982380829
BaseRepresentation
bin10100110110001100001111…
…00010011110110110011110
320000022111101211222222100000
422123012013202132312132
522002040324214214010
6241255422500315130
712441002614652442
oct1233060742366636
9200274354888300
1045842459913630
1113674750568936
1251846ab0a2aa6
131c76c051c3133
14b46b0336c822
155477031757c0
hex29b18789ed9e

45842459913630 has 96 divisors (see below), whose sum is σ = 124144615576800. Its totient is φ = 12171273052032.

The previous prime is 45842459913617. The next prime is 45842459913643. The reversal of 45842459913630 is 3631995424854.

It is a happy number.

45842459913630 is a `hidden beast` number, since 4 + 5 + 8 + 4 + 2 + 4 + 599 + 1 + 3 + 6 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (45842459913617) and next prime (45842459913643).

It is a super-2 number, since 2×458424599136302 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40633945 + ... + 41746884.

It is an arithmetic number, because the mean of its divisors is an integer number (1293173078925).

Almost surely, 245842459913630 is an apocalyptic number.

45842459913630 is an abundant number, since it is smaller than the sum of its proper divisors (78302155663170).

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

45842459913630 is a wasteful number, since it uses less digits than its factorization.

45842459913630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82381080 (or 82381068 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 45842459913630 in words is "forty-five trillion, eight hundred forty-two billion, four hundred fifty-nine million, nine hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 243 270 405 458 486 687 810 1145 1215 1374 2061 2290 2430 3435 4122 6183 6870 10305 12366 18549 20610 30915 37098 55647 61830 92745 111294 185490 278235 556470 82380829 164761658 247142487 411904145 494284974 741427461 823808290 1235712435 1482854922 2224282383 2471424870 3707137305 4448564766 6672847149 7414274610 11121411915 13345694298 18865209841 20018541447 22242823830 33364235745 37730419682 40037082894 56595629523 66728471490 94326049205 100092707235 113191259046 169786888569 188652098410 200185414470 282978147615 339573777138 509360665707 565956295230 848934442845 1018721331414 1528081997121 1697868885690 2546803328535 3056163994242 4584245991363 5093606657070 7640409985605 9168491982726 15280819971210 22921229956815 45842459913630