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11882657620 = 225171491631439
BaseRepresentation
bin10110001000100001…
…01111011101010100
31010200010022112212101
423010100233131110
5143313430020440
65243034331444
7600314631451
oct130420573524
933603275771
1011882657620
1150484a55a9
122377589b84
131174a5b472
1480a1d4828
154982e269a
hex2c442f754

11882657620 has 96 divisors (see below), whose sum is σ = 26780544000. Its totient is φ = 4413118464.

The previous prime is 11882657561. The next prime is 11882657629. The reversal of 11882657620 is 2675628811.

It is a super-2 number, since 2×118826576202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882657629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8256861 + ... + 8258299.

It is an arithmetic number, because the mean of its divisors is an integer number (278964000).

Almost surely, 211882657620 is an apocalyptic number.

11882657620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11882657620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272000).

11882657620 is an abundant number, since it is smaller than the sum of its proper divisors (14897886380).

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

11882657620 is a wasteful number, since it uses less digits than its factorization.

11882657620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 11882657620 in words is "eleven billion, eight hundred eighty-two million, six hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 163 170 298 326 340 596 652 745 815 1439 1490 1630 2533 2771 2878 2980 3260 5066 5542 5756 7195 10132 11084 12665 13855 14390 24287 24463 25330 27710 28780 48574 48926 50660 55420 97148 97852 121435 122315 214411 234557 242870 244630 412879 428822 469114 485740 489260 825758 857644 938228 1072055 1172785 1651516 2064395 2144110 2345570 3644987 3987469 4128790 4288220 4691140 7289974 7974938 8257580 14579948 15949876 18224935 19937345 34948993 36449870 39874690 69897986 72899740 79749380 139795972 174744965 349489930 594132881 698979860 1188265762 2376531524 2970664405 5941328810 11882657620