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5810742072 = 23321573311553
BaseRepresentation
bin1010110100101100…
…01110001100111000
3112222221221021121100
411122112032030320
543400022221242
62400332211400
7263665330662
oct53226161470
915887837540
105810742072
112512015583
121162009b60
13717b03025
143d1a25532
1524020154c
hex15a58e338

5810742072 has 96 divisors (see below), whose sum is σ = 15895741680. Its totient is φ = 1917527040.

The previous prime is 5810742059. The next prime is 5810742109. The reversal of 5810742072 is 2702470185.

5810742072 is a `hidden beast` number, since 581 + 0 + 7 + 4 + 2 + 0 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3740848 + ... + 3742400.

Almost surely, 25810742072 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 5810742072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947870840).

5810742072 is an abundant number, since it is smaller than the sum of its proper divisors (10084999608).

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

5810742072 is a wasteful number, since it uses less digits than its factorization.

5810742072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5810742072 is about 76228.2235920528. The cubic root of 5810742072 is about 1797.8103076992.

The spelling of 5810742072 in words is "five billion, eight hundred ten million, seven hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 331 471 628 662 942 993 1256 1324 1413 1553 1884 1986 2648 2826 2979 3106 3768 3972 4659 5652 5958 6212 7944 9318 11304 11916 12424 13977 18636 23832 27954 37272 51967 55908 103934 111816 155901 207868 243821 311802 415736 467703 487642 514043 623604 731463 935406 975284 1028086 1247208 1462926 1542129 1870812 1950568 2056172 2194389 2925852 3084258 3741624 4112344 4388778 4626387 5851704 6168516 8777556 9252774 12337032 17555112 18505548 37011096 80704751 161409502 242114253 322819004 484228506 645638008 726342759 968457012 1452685518 1936914024 2905371036 5810742072