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30987314688 = 293118092267
BaseRepresentation
bin11100110110111111…
…001110011000000000
32221222120002200111210
4130312333032120000
51001430223032223
622122501410120
72144615554221
oct346677163000
987876080453
1030987314688
1112161593190
126009709940
132bcaab0385
1416dd613248
15c15651893
hex736fce600

30987314688 has 160 divisors (see below), whose sum is σ = 90207976320. Its totient is φ = 9374351360.

The previous prime is 30987314669. The next prime is 30987314747. The reversal of 30987314688 is 88641378903.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13667731 + ... + 13669997.

It is an arithmetic number, because the mean of its divisors is an integer number (563799852).

Almost surely, 230987314688 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 30987314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45103988160).

30987314688 is an abundant number, since it is smaller than the sum of its proper divisors (59220661632).

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

30987314688 is a wasteful number, since it uses less digits than its factorization.

30987314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 30987314688 in words is "thirty billion, nine hundred eighty-seven million, three hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 809 1056 1408 1536 1618 2112 2267 2427 2816 3236 4224 4534 4854 5632 6472 6801 8448 8899 9068 9708 12944 13602 16896 17798 18136 19416 24937 25888 26697 27204 35596 36272 38832 49874 51776 53394 54408 71192 72544 74811 77664 99748 103552 106788 108816 142384 145088 149622 155328 199496 207104 213576 217632 284768 290176 299244 310656 398992 414208 427152 435264 569536 580352 598488 621312 797984 854304 870528 1139072 1160704 1196976 1242624 1595968 1708608 1741056 1834003 2278144 2393952 3191936 3417216 3482112 3668006 4556288 4787904 5502009 6383872 6834432 7336012 9575808 11004018 12767744 13668864 14672024 19151616 20174033 22008036 29344048 38303232 40348066 44016072 58688096 60522099 80696132 88032144 117376192 121044198 161392264 176064288 234752384 242088396 322784528 352128576 469504768 484176792 645569056 704257152 939009536 968353584 1291138112 1408514304 1936707168 2582276224 2817028608 3873414336 5164552448 7746828672 10329104896 15493657344 30987314688