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11130688460 = 22517437110723
BaseRepresentation
bin10100101110111000…
…01101001111001100
31001201201100120002202
422113130031033030
5140243424012320
65040253141032
7542554201523
oct122734151714
931651316082
1011130688460
1147a1a8aa91
1221a778a778
1310850245b8
147783ad4ba
154522a6b75
hex29770d3cc

11130688460 has 96 divisors (see below), whose sum is σ = 25684065792. Its totient is φ = 4034903040.

The previous prime is 11130688453. The next prime is 11130688501. The reversal of 11130688460 is 6488603111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032659 + ... + 1043381.

It is an arithmetic number, because the mean of its divisors is an integer number (267542352).

Almost surely, 211130688460 is an apocalyptic number.

11130688460 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 11130688460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842032896).

11130688460 is an abundant number, since it is smaller than the sum of its proper divisors (14553377332).

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

11130688460 is a wasteful number, since it uses less digits than its factorization.

11130688460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10863 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 11130688460 in words is "eleven billion, one hundred thirty million, six hundred eighty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 43 68 71 85 86 142 170 172 215 284 340 355 430 710 731 860 1207 1420 1462 2414 2924 3053 3655 4828 6035 6106 7310 10723 12070 12212 14620 15265 21446 24140 30530 42892 51901 53615 61060 103802 107230 182291 207604 214460 259505 364582 461089 519010 729164 761333 911455 922178 1038020 1522666 1822910 1844356 2305445 3045332 3645820 3806665 4610890 7613330 7838513 9221780 12942661 15226660 15677026 25885322 31354052 32737319 39192565 51770644 64713305 65474638 78385130 129426610 130949276 156770260 163686595 258853220 327373190 556534423 654746380 1113068846 2226137692 2782672115 5565344230 11130688460