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135862442304 = 2633077393119
BaseRepresentation
bin111111010001000001…
…0000101100101000000
3110222200111011011121120
41332202002011211000
54211221241123204
6142225255352240
712546540463611
oct1764202054500
9428614134546
10135862442304
1152689896876
12223b8082680
13ca72609ac4
14680bd0bc08
1538028786d9
hex1fa2085940

135862442304 has 112 divisors (see below), whose sum is σ = 361244083200. Its totient is φ = 45064429056.

The previous prime is 135862442297. The next prime is 135862442311. The reversal of 135862442304 is 403244268531.

It is an interprime number because it is at equal distance from previous prime (135862442297) and next prime (135862442311).

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, 43558057 + ... + 43561175.

It is an arithmetic number, because the mean of its divisors is an integer number (3225393600).

Almost surely, 2135862442304 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 135862442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180622041600).

135862442304 is an abundant number, since it is smaller than the sum of its proper divisors (225381640896).

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

135862442304 is a wasteful number, since it uses less digits than its factorization.

135862442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 135862442304 in words is "one hundred thirty-five billion, eight hundred sixty-two million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 307 614 739 921 1228 1478 1842 2217 2456 2956 3119 3684 4434 4912 5912 6238 7368 8868 9357 9824 11824 12476 14736 17736 18714 19648 23648 24952 29472 35472 37428 47296 49904 58944 70944 74856 99808 141888 149712 199616 226873 299424 453746 598848 680619 907492 957533 1361238 1814984 1915066 2304941 2722476 2872599 3629968 3830132 4609882 5444952 5745198 6914823 7259936 7660264 9219764 10889904 11490396 13829646 14519872 15320528 18439528 21779808 22980792 27659292 30641056 36879056 43559616 45961584 55318584 61282112 73758112 91923168 110637168 147516224 183846336 221274336 442548672 707616887 1415233774 2122850661 2830467548 4245701322 5660935096 8491402644 11321870192 16982805288 22643740384 33965610576 45287480768 67931221152 135862442304