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96135732630 = 2335790756081
BaseRepresentation
bin101100110001000100…
…0101101110110010110
3100012010212100012222000
41121202020231312112
53033341221421010
6112055242220130
76642222146610
oct1314210556626
9305125305860
1096135732630
1137853129903
121676b7b4646
1390b1062bc2
14491db5ddb0
152779d767c0
hex166222dd96

96135732630 has 128 divisors (see below), whose sum is σ = 293313346560. Its totient is φ = 21949263360.

The previous prime is 96135732629. The next prime is 96135732703. The reversal of 96135732630 is 3623753169.

96135732630 is a `hidden beast` number, since 9 + 6 + 1 + 3 + 5 + 7 + 3 + 2 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686190 + ... + 1742270.

It is an arithmetic number, because the mean of its divisors is an integer number (2291510520).

Almost surely, 296135732630 is an apocalyptic number.

96135732630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96135732630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146656673280).

96135732630 is an abundant number, since it is smaller than the sum of its proper divisors (197177613930).

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

96135732630 is a wasteful number, since it uses less digits than its factorization.

96135732630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57011 (or 57005 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 96135732630 in words is "ninety-six billion, one hundred thirty-five million, seven hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 907 945 1814 1890 2721 4535 5442 6349 8163 9070 12698 13605 16326 19047 24489 27210 31745 38094 40815 48978 56081 57141 63490 81630 95235 112162 114282 122445 168243 171423 190470 244890 280405 285705 336486 342846 392567 504729 560810 571410 785134 841215 857115 1009458 1177701 1514187 1682430 1714230 1962835 2355402 2523645 3028374 3533103 3925670 5047290 5888505 7066206 7570935 10599309 11777010 15141870 17665515 21198618 35331030 50865467 52996545 101730934 105993090 152596401 254327335 305192802 356058269 457789203 508654670 712116538 762982005 915578406 1068174807 1373367609 1525964010 1780291345 2136349614 2288946015 2746735218 3204524421 3560582690 4577892030 5340874035 6409048842 6866838045 9613573263 10681748070 13733676090 16022622105 19227146526 32045244210 48067866315 96135732630