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5109832770 = 2357294211993
BaseRepresentation
bin1001100001001000…
…11101110001000010
3111012010001101210120
410300210131301002
540431104122040
62203013241110
7240424601430
oct46044356102
914163041716
105109832770
112192404a99
12ba7333196
13635835ab3
143668d1d50
151ed8ee7d0
hex13091dc42

5109832770 has 128 divisors (see below), whose sum is σ = 14540567040. Its totient is φ = 1124444160.

The previous prime is 5109832769. The next prime is 5109832807. The reversal of 5109832770 is 772389015.

It is a super-2 number, since 2×51098327702 = 52220781874731745800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2562894 + ... + 2564886.

It is an arithmetic number, because the mean of its divisors is an integer number (113598180).

Almost surely, 25109832770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109832770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270283520).

5109832770 is an abundant number, since it is smaller than the sum of its proper divisors (9430734270).

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

5109832770 is a wasteful number, since it uses less digits than its factorization.

5109832770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460.

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5109832770 is about 71483.0942950849. The cubic root of 5109832770 is about 1722.4061297160.

The spelling of 5109832770 in words is "five billion, one hundred nine million, eight hundred thirty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 421 435 609 842 870 1015 1218 1263 1993 2030 2105 2526 2947 3045 3986 4210 5894 5979 6090 6315 8841 9965 11958 12209 12630 13951 14735 17682 19930 24418 27902 29470 29895 36627 41853 44205 57797 59790 61045 69755 73254 83706 85463 88410 115594 122090 139510 170926 173391 183135 209265 256389 288985 346782 366270 404579 418530 427315 512778 577970 809158 839053 854630 866955 1213737 1281945 1678106 1733910 2022895 2427474 2517159 2563890 4045790 4195265 5034318 5873371 6068685 8390530 11746742 12137370 12585795 17620113 24332537 25171590 29366855 35240226 48665074 58733710 72997611 88100565 121662685 145995222 170327759 176201130 243325370 340655518 364988055 510983277 729976110 851638795 1021966554 1703277590 2554916385 5109832770