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378125789120 = 26559181111059
BaseRepresentation
bin1011000000010100000…
…11011010011111000000
31100011000020101022202022
411200022003122133000
522143400200222440
6445413015541012
736214211114312
oct5401203323700
91304006338668
10378125789120
111363a9171a72
126134968a768
132987088c2b1
14144310077b2
159c81365cb5
hex580a0da7c0

378125789120 has 112 divisors (see below), whose sum is σ = 916261718400. Its totient is φ = 148591211520.

The previous prime is 378125789113. The next prime is 378125789141. The reversal of 378125789120 is 21987521873.

It is a super-2 number, since 2×3781257891202 (a number of 24 digits) contains 22 as substring.

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, 34186151 + ... + 34197209.

It is an arithmetic number, because the mean of its divisors is an integer number (8180908200).

Almost surely, 2378125789120 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 378125789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458130859200).

378125789120 is an abundant number, since it is smaller than the sum of its proper divisors (538135929280).

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

378125789120 is a wasteful number, since it uses less digits than its factorization.

378125789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 53.

The spelling of 378125789120 in words is "three hundred seventy-eight billion, one hundred twenty-five million, seven hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1811 1888 2360 3622 3776 4720 7244 9055 9440 11059 14488 18110 18880 22118 28976 36220 44236 55295 57952 72440 88472 106849 110590 115904 144880 176944 213698 221180 289760 353888 427396 442360 534245 579520 652481 707776 854792 884720 1068490 1304962 1709584 1769440 2136980 2609924 3262405 3419168 3538880 4273960 5219848 6524810 6838336 8547920 10439696 13049620 17095840 20027849 20879392 26099240 34191680 40055698 41758784 52198480 80111396 100139245 104396960 160222792 200278490 208793920 320445584 400556980 640891168 801113960 1181643091 1281782336 1602227920 2363286182 3204455840 4726572364 5908215455 6408911680 9453144728 11816430910 18906289456 23632861820 37812578912 47265723640 75625157824 94531447280 189062894560 378125789120