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18834889960 = 2353741310397
BaseRepresentation
bin10001100010101001…
…011001110011101000
31210121122011112202001
4101202221121303220
5302033212434320
612352545020344
71234513631425
oct214251316350
953548145661
1018834889960
117a95893667
1237979246b4
131a121ab103
14ca9678d4c
1575382320a
hex462a59ce8

18834889960 has 64 divisors (see below), whose sum is σ = 44585568720. Its totient is φ = 7151523840.

The previous prime is 18834889939. The next prime is 18834889961. The reversal of 18834889960 is 6998843881.

It can be written as a sum of positive squares in 8 ways, for example, as 12400604164 + 6434285796 = 111358^2 + 80214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18834889892 and 18834889901.

It is not an unprimeable number, because it can be changed into a prime (18834889961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94519 + ... + 215878.

Almost surely, 218834889960 is an apocalyptic number.

18834889960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18834889960 is an abundant number, since it is smaller than the sum of its proper divisors (25750678760).

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

18834889960 is a wasteful number, since it uses less digits than its factorization.

18834889960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310486 (or 310482 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

The spelling of 18834889960 in words is "eighteen billion, eight hundred thirty-four million, eight hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 296 328 370 410 740 820 1480 1517 1640 3034 6068 7585 12136 15170 30340 60680 310397 620794 1241588 1551985 2483176 3103970 6207940 11484689 12415880 12726277 22969378 25452554 45938756 50905108 57423445 63631385 91877512 101810216 114846890 127262770 229693780 254525540 459387560 470872249 509051080 941744498 1883488996 2354361245 3766977992 4708722490 9417444980 18834889960