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5106751600 = 245219671941
BaseRepresentation
bin1001100000110001…
…01101100001110000
3111011220020212020011
410300120231201300
540424312022400
62202423224304
7240356446426
oct46030554160
914156225204
105106751600
1121906a0075
12ba62a8094
13634cc7512
1436632d116
151ed4e18ba
hex13062d870

5106751600 has 60 divisors (see below), whose sum is σ = 12914725240. Its totient is φ = 1935187200.

The previous prime is 5106751561. The next prime is 5106751603. The reversal of 5106751600 is 61576015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106751603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328371 + ... + 343570.

Almost surely, 25106751600 is an apocalyptic number.

5106751600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5106751600 is an abundant number, since it is smaller than the sum of its proper divisors (7807973640).

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

5106751600 is a wasteful number, since it uses less digits than its factorization.

5106751600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671978 (or 671967 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 5106751600 is about 71461.5393061191. The cubic root of 5106751600 is about 1722.0598631235.

The spelling of 5106751600 in words is "five billion, one hundred six million, seven hundred fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 671941 1343882 2687764 3359705 5375528 6719410 10751056 12766879 13438820 16798525 25533758 26877640 33597050 51067516 53755280 63834395 67194100 102135032 127668790 134388200 204270064 255337580 268776400 319171975 510675160 638343950 1021350320 1276687900 2553375800 5106751600