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6157122816 = 283132326813
BaseRepresentation
bin1011011101111111…
…00011110100000000
3120220002201020122210
411232333203310000
5100102210412231
62454544302120
7305402452245
oct55677436400
916802636583
106157122816
11267a598559
12123a011940
137717bca50
14425a2d5cc
15260822a46
hex16efe3d00

6157122816 has 144 divisors (see below), whose sum is σ = 18415426176. Its totient is φ = 1812062208.

The previous prime is 6157122761. The next prime is 6157122817. The reversal of 6157122816 is 6182217516.

It is a super-2 number, since 2×61571228162 = 75820322742615539712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157122817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216226 + ... + 243038.

It is an arithmetic number, because the mean of its divisors is an integer number (127884904).

Almost surely, 26157122816 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 6157122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207713088).

6157122816 is an abundant number, since it is smaller than the sum of its proper divisors (12258303360).

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

6157122816 is a wasteful number, since it uses less digits than its factorization.

6157122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26868 (or 26854 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 6157122816 is about 78467.3359812859. The cubic root of 6157122816 is about 1832.8458429553.

The spelling of 6157122816 in words is "six billion, one hundred fifty-seven million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 552 598 624 736 768 832 897 1104 1196 1248 1472 1664 1794 2208 2392 2496 2944 3328 3588 4416 4784 4992 5888 7176 8832 9568 9984 14352 17664 19136 26813 28704 38272 53626 57408 76544 80439 107252 114816 160878 214504 229632 321756 348569 429008 616699 643512 697138 858016 1045707 1233398 1287024 1394276 1716032 1850097 2091414 2466796 2574048 2788552 3432064 3700194 4182828 4933592 5148096 5577104 6864128 7400388 8017087 8365656 9867184 10296192 11154208 14800776 16034174 16731312 19734368 20592384 22308416 24051261 29601552 32068348 33462624 39468736 44616832 48102522 59203104 64136696 66925248 78937472 89233664 96205044 118406208 128273392 133850496 157874944 192410088 236812416 256546784 267700992 384820176 473624832 513093568 769640352 1026187136 1539280704 2052374272 3078561408 6157122816