Search a number
-
+
6151042720 = 25523272673
BaseRepresentation
bin1011011101010000…
…10111011010100000
3120212200021100100001
411232220113122200
5100044131331340
62454210105344
7305300000104
oct55650273240
916780240301
106151042720
112677115489
121237b7b254
13770471464
14424cc9904
1526002129a
hex16ea176a0

6151042720 has 72 divisors (see below), whose sum is σ = 15191336916. Its totient is φ = 2353410048.

The previous prime is 6151042687. The next prime is 6151042739. The reversal of 6151042720 is 272401516.

It can be written as a sum of positive squares in 2 ways, for example, as 6100859664 + 50183056 = 78108^2 + 7084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48304 + ... + 120976.

Almost surely, 26151042720 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 6151042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595668458).

6151042720 is an abundant number, since it is smaller than the sum of its proper divisors (9040294196).

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

6151042720 is a wasteful number, since it uses less digits than its factorization.

6151042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72734 (or 72703 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 6151042720 is about 78428.5835649223. The cubic root of 6151042720 is about 1832.2423387331.

The spelling of 6151042720 in words is "six billion, one hundred fifty-one million, forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 529 736 920 1058 1840 2116 2645 3680 4232 5290 8464 10580 16928 21160 42320 72673 84640 145346 290692 363365 581384 726730 1162768 1453460 1671479 2325536 2906920 3342958 5813840 6685916 8357395 11627680 13371832 16714790 26743664 33429580 38444017 53487328 66859160 76888034 133718320 153776068 192220085 267436640 307552136 384440170 615104272 768880340 1230208544 1537760680 3075521360 6151042720