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6107116002 = 23131931307433
BaseRepresentation
bin1011011000000001…
…10011000111100010
3120202121121122012120
411230000303013202
5100001410203002
62450000405110
7304224425631
oct55400630742
916677548176
106107116002
112654342709
121225316796
13764331510
1441d133518
1525b245cbc
hex16c0331e2

6107116002 has 128 divisors (see below), whose sum is σ = 14372413440. Its totient is φ = 1713208320.

The previous prime is 6107115997. The next prime is 6107116063. The reversal of 6107116002 is 2006117016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14103978 + ... + 14104410.

It is an arithmetic number, because the mean of its divisors is an integer number (112284480).

Almost surely, 26107116002 is an apocalyptic number.

6107116002 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6107116002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186206720).

6107116002 is an abundant number, since it is smaller than the sum of its proper divisors (8265297438).

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

6107116002 is a wasteful number, since it uses less digits than its factorization.

6107116002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 6107116002 is about 78148.0390157040. The cubic root of 6107116002 is about 1827.8703566762.

The spelling of 6107116002 in words is "six billion, one hundred seven million, one hundred sixteen thousand, two".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 307 403 433 494 589 614 741 806 866 921 1178 1209 1299 1482 1767 1842 2418 2598 3534 3991 5629 5833 7657 7982 8227 9517 11258 11666 11973 13423 15314 16454 16887 17499 19034 22971 23946 24681 26846 28551 33774 34998 40269 45942 49362 57102 75829 80538 106951 123721 132931 151658 174499 180823 213902 227487 247442 255037 265862 320853 348998 361646 371163 398793 454974 510074 523497 542469 641706 742326 765111 797586 1046994 1084938 1530222 1728103 2350699 2525689 3315481 3456206 4120861 4701398 5051378 5184309 6630962 7052097 7577067 8241722 9946443 10368618 12362583 14104194 15154134 19892886 24725166 32833957 53571193 65667914 78296359 98501871 107142386 156592718 160713579 197003742 234889077 321427158 469778154 1017852667 2035705334 3053558001 6107116002