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6101938944 = 283210392549
BaseRepresentation
bin1011010111011010…
…00011001100000000
3120202020212121121200
411223231003030000
544444044021234
62445253421200
7304132424313
oct55355031400
916666777550
106101938944
112651427052
12122363a800
1376323ac7a
1441c58697a
1525aa71d99
hex16bb43300

6101938944 has 108 divisors (see below), whose sum is σ = 17617236000. Its totient is φ = 2031224832.

The previous prime is 6101938943. The next prime is 6101938949. The reversal of 6101938944 is 4498391016.

It is a self number, because there is not a number n which added to its sum of digits gives 6101938944.

It is not an unprimeable number, because it can be changed into a prime (6101938943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2392582 + ... + 2395130.

Almost surely, 26101938944 is an apocalyptic number.

6101938944 is a gapful number since it is divisible by the number (64) 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 6101938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808618000).

6101938944 is an abundant number, since it is smaller than the sum of its proper divisors (11515297056).

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

6101938944 is a wasteful number, since it uses less digits than its factorization.

6101938944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6101938944 is about 78114.9085898460. The cubic root of 6101938944 is about 1827.3537098626.

The spelling of 6101938944 in words is "six billion, one hundred one million, nine hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1039 1152 2078 2304 2549 3117 4156 5098 6234 7647 8312 9351 10196 12468 15294 16624 18702 20392 22941 24936 30588 33248 37404 40784 45882 49872 61176 66496 74808 81568 91764 99744 122352 132992 149616 163136 183528 199488 244704 265984 299232 326272 367056 398976 489408 598464 652544 734112 797952 978816 1196928 1468224 1957632 2393856 2648411 2936448 5296822 5872896 7945233 10593644 15890466 21187288 23835699 31780932 42374576 47671398 63561864 84749152 95342796 127123728 169498304 190685592 254247456 338996608 381371184 508494912 677993216 762742368 1016989824 1525484736 2033979648 3050969472 6101938944