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6113252736 = 27341931033
BaseRepresentation
bin1011011000110000…
…01101010110000000
3120210001011102020000
411230120031112000
5100004443041421
62450340120000
7304330535163
oct55430152600
916701142200
106113252736
112657854298
121227396000
1376569c816
1441dc8dada
1525ba59226
hex16c60d580

6113252736 has 160 divisors (see below), whose sum is σ = 19151081400. Its totient is φ = 1930438656.

The previous prime is 6113252633. The next prime is 6113252749. The reversal of 6113252736 is 6372523116.

6113252736 is a `hidden beast` number, since 61 + 1 + 325 + 273 + 6 = 666.

It is a super-2 number, since 2×61132527362 = 74743718028422971392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6113252736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181476 + ... + 212508.

Almost surely, 26113252736 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 6113252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575540700).

6113252736 is an abundant number, since it is smaller than the sum of its proper divisors (13037828664).

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

6113252736 is a wasteful number, since it uses less digits than its factorization.

6113252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31078 (or 31057 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 6113252736 is about 78187.2926759841. The cubic root of 6113252736 is about 1828.4823967440.

The spelling of 6113252736 in words is "six billion, one hundred thirteen million, two hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 288 304 324 342 384 432 456 513 576 608 648 684 864 912 1026 1152 1216 1296 1368 1539 1728 1824 2052 2432 2592 2736 3078 3456 3648 4104 5184 5472 6156 7296 8208 10368 10944 12312 16416 21888 24624 31033 32832 49248 62066 65664 93099 98496 124132 186198 196992 248264 279297 372396 496528 558594 589627 744792 837891 993056 1117188 1179254 1489584 1675782 1768881 1986112 2234376 2358508 2513673 2979168 3351564 3537762 3972224 4468752 4717016 5027346 5306643 5958336 6703128 7075524 8937504 9434032 10054692 10613286 11916672 13406256 14151048 15919929 17875008 18868064 20109384 21226572 26812512 28302096 31839858 35750016 37736128 40218768 42453144 47759787 53625024 56604192 63679716 75472256 80437536 84906288 95519574 107250048 113208384 127359432 160875072 169812576 191039148 226416768 254718864 321750144 339625152 382078296 509437728 679250304 764156592 1018875456 1528313184 2037750912 3056626368 6113252736