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9930135488 = 267136012837
BaseRepresentation
bin10010011111110000…
…11101011111000000
3221122001022011000212
421033320131133000
5130314103313423
64321205133252
7501035521220
oct111770353700
927561264025
109930135488
114236336849
121b116ba228
13c23398520
146a2b78080
153d1bac578
hex24fe1d7c0

9930135488 has 112 divisors (see below), whose sum is σ = 24301362624. Its totient is φ = 3920486400.

The previous prime is 9930135451. The next prime is 9930135499. The reversal of 9930135488 is 8845310399.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (50) 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, 3498806 + ... + 3501642.

It is an arithmetic number, because the mean of its divisors is an integer number (216976452).

Almost surely, 29930135488 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 9930135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150681312).

9930135488 is an abundant number, since it is smaller than the sum of its proper divisors (14371227136).

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

9930135488 is a wasteful number, since it uses less digits than its factorization.

9930135488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 9930135488 is about 99650.0651680670. The cubic root of 9930135488 is about 2149.4056758560.

The spelling of 9930135488 in words is "nine billion, nine hundred thirty million, one hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 601 728 832 1202 1456 2404 2837 2912 4207 4808 5674 5824 7813 8414 9616 11348 15626 16828 19232 19859 22696 31252 33656 36881 38464 39718 45392 54691 62504 67312 73762 79436 90784 109382 125008 134624 147524 158872 181568 218764 250016 258167 269248 295048 317744 437528 500032 516334 590096 635488 875056 1032668 1180192 1270976 1705037 1750112 2065336 2360384 3410074 3500224 4130672 6820148 8261344 11935259 13640296 16522688 22165481 23870518 27280592 44330962 47741036 54561184 88661924 95482072 109122368 155158367 177323848 190964144 310316734 354647696 381928288 620633468 709295392 763856576 1241266936 1418590784 2482533872 4965067744 9930135488