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3116561500 = 225313974943
BaseRepresentation
bin1011100111000010…
…1111010001011100
322001012100201122201
42321300233101130
522340314432000
61233130421244
7140142223063
oct27160572134
98035321581
103116561500
11135a243868
1272b891824
133a88a6340
14217ca91da
1513391a96a
hexb9c2f45c

3116561500 has 96 divisors (see below), whose sum is σ = 7407219456. Its totient is φ = 1138636800.

The previous prime is 3116561489. The next prime is 3116561519. The reversal of 3116561500 is 51656113.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 628029 + ... + 632971.

It is an arithmetic number, because the mean of its divisors is an integer number (77158536).

Almost surely, 23116561500 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 3116561500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703609728).

3116561500 is an abundant number, since it is smaller than the sum of its proper divisors (4290657956).

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

3116561500 is a wasteful number, since it uses less digits than its factorization.

3116561500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 3116561500 is about 55826.1721775728. The cubic root of 3116561500 is about 1460.6917188885.

It can be divided in two parts, 31165 and 61500, that added together give a triangular number (92665 = T430).

The spelling of 3116561500 in words is "three billion, one hundred sixteen million, five hundred sixty-one thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 125 130 194 250 260 325 388 485 500 650 970 1261 1300 1625 1940 2425 2522 3250 4850 4943 5044 6305 6500 9700 9886 12125 12610 19772 24250 24715 25220 31525 48500 49430 63050 64259 98860 123575 126100 128518 157625 247150 257036 315250 321295 479471 494300 617875 630500 642590 958942 1235750 1285180 1606475 1917884 2397355 2471500 3212950 4794710 6233123 6425900 8032375 9589420 11986775 12466246 16064750 23973550 24932492 31165615 32129500 47947100 59933875 62331230 119867750 124662460 155828075 239735500 311656150 623312300 779140375 1558280750 3116561500