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5658366960 = 243259781019
BaseRepresentation
bin1010100010100001…
…11101001111110000
3112121100012211020200
411101100331033300
543042020220320
62333250235200
7260135216451
oct52120751760
915540184220
105658366960
112444000934
12111ab85b00
136c238203c
143b96bd128
15231b53290
hex15143d3f0

5658366960 has 120 divisors (see below), whose sum is σ = 19198823280. Its totient is φ = 1493323776.

The previous prime is 5658366949. The next prime is 5658366997. The reversal of 5658366960 is 696638565.

5658366960 is a `hidden beast` number, since 56 + 583 + 6 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5658366897 and 5658366906.

It is a congruent number.

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, 29331 + ... + 110349.

It is an arithmetic number, because the mean of its divisors is an integer number (159990194).

Almost surely, 25658366960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5658366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599411640).

5658366960 is an abundant number, since it is smaller than the sum of its proper divisors (13540456320).

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

5658366960 is a wasteful number, since it uses less digits than its factorization.

5658366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81135 (or 81126 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 5658366960 is about 75222.1174921313. The cubic root of 5658366960 is about 1781.9562467765.

The spelling of 5658366960 in words is "five billion, six hundred fifty-eight million, three hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1455 1552 1746 1940 2328 2910 3492 3880 4365 4656 5820 6984 7760 8730 11640 13968 17460 23280 34920 69840 81019 162038 243057 324076 405095 486114 648152 729171 810190 972228 1215285 1296304 1458342 1620380 1944456 2430570 2916684 3240760 3645855 3888912 4861140 5833368 6481520 7291710 7858843 9722280 11666736 14583420 15717686 19444560 23576529 29166840 31435372 39294215 47153058 58333680 62870744 70729587 78588430 94306116 117882645 125741488 141459174 157176860 188612232 235765290 282918348 314353720 353647935 377224464 471530580 565836696 628707440 707295870 943061160 1131673392 1414591740 1886122320 2829183480 5658366960