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3107093472 = 25337513739
BaseRepresentation
bin1011100100110010…
…0111101111100000
322000112112200222000
42321030213233200
522330403442342
61232151444000
7136665600360
oct27114475740
98015480860
103107093472
11135496734a
12728686600
133a693c962
142169229a0
15132b9a44c
hexb9327be0

3107093472 has 96 divisors (see below), whose sum is σ = 10356998400. Its totient is φ = 887739264.

The previous prime is 3107093471. The next prime is 3107093477. The reversal of 3107093472 is 2743907013.

3107093472 is a `hidden beast` number, since 31 + 0 + 70 + 93 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107093471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250822 + ... + 262917.

It is an arithmetic number, because the mean of its divisors is an integer number (107885400).

Almost surely, 23107093472 is an apocalyptic number.

3107093472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3107093472 is an abundant number, since it is smaller than the sum of its proper divisors (7249904928).

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

3107093472 is a wasteful number, since it uses less digits than its factorization.

3107093472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513765 (or 513751 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3107093472 is about 55741.3084884092. The cubic root of 3107093472 is about 1459.2110380484.

The spelling of 3107093472 in words is "three billion, one hundred seven million, ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 513739 1027478 1541217 2054956 3082434 3596173 4109912 4623651 6164868 7192346 8219824 9247302 10788519 12329736 13870953 14384692 16439648 18494604 21577038 24659472 27741906 28769384 32365557 36989208 43154076 49318944 55483812 57538768 64731114 73978416 86308152 97096671 110967624 115077536 129462228 147956832 172616304 194193342 221935248 258924456 345232608 388386684 443870496 517848912 776773368 1035697824 1553546736 3107093472