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989124430608 = 243227141960493
BaseRepresentation
bin11100110010011000110…
…10010000101100010000
310111120002210010020221200
432121030122100230100
5112201211323234413
62034221505151200
7131314265636436
oct16311432205420
93446083106850
10989124430608
11351537a55716
1213b84792b500
1372374089992
1435c33cc6d56
151aae1aa5573
hexe64c690b10

989124430608 has 120 divisors (see below), whose sum is σ = 2785066327680. Its totient is φ = 327702101760.

The previous prime is 989124430579. The next prime is 989124430631. The reversal of 989124430608 is 806034421989.

989124430608 is a `hidden beast` number, since 9 + 8 + 9 + 1 + 24 + 4 + 3 + 0 + 608 = 666.

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, 16320810 + ... + 16381302.

It is an arithmetic number, because the mean of its divisors is an integer number (23208886064).

Almost surely, 2989124430608 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 989124430608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392533163840).

989124430608 is an abundant number, since it is smaller than the sum of its proper divisors (1795941897072).

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

989124430608 is a wasteful number, since it uses less digits than its factorization.

989124430608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61197 (or 61188 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 989124430608 in words is "nine hundred eighty-nine billion, one hundred twenty-four million, four hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 419 542 813 838 1084 1257 1626 1676 2168 2439 2514 3252 3352 3771 4336 4878 5028 6504 6704 7542 9756 10056 13008 15084 19512 20112 30168 39024 60336 60493 113549 120986 181479 227098 241972 340647 362958 454196 483944 544437 681294 725916 908392 967888 1021941 1088874 1362588 1451832 1816784 2043882 2177748 2725176 2903664 4087764 4355496 5450352 8175528 8710992 16351056 16393603 25346567 32787206 49180809 50693134 65574412 76039701 98361618 101386268 131148824 147542427 152079402 196723236 202772536 228119103 262297648 295084854 304158804 393446472 405545072 456238206 590169708 608317608 786892944 912476412 1180339416 1216635216 1824952824 2360678832 3649905648 6868919657 13737839314 20606758971 27475678628 41213517942 54951357256 61820276913 82427035884 109902714512 123640553826 164854071768 247281107652 329708143536 494562215304 989124430608