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116602517006730 = 23351036521642973
BaseRepresentation
bin11010100000110010100011…
…100110110010100110001010
3120021212002110220010120122000
4122200302203212302212022
5110240403423323203410
61051554242401211430
733363153033216066
oct3240624346624612
9507762426116560
10116602517006730
1134175939035597
12110b2423030b76
13500a754893a41
1420b18403b0aa6
15d731744a2dc0
hex6a0ca39b298a

116602517006730 has 128 divisors (see below), whose sum is σ = 314007514928640. Its totient is φ = 30787351119360.

The previous prime is 116602517006713. The next prime is 116602517006771. The reversal of 116602517006730 is 37600715206611.

116602517006730 is a `hidden beast` number, since 1 + 1 + 6 + 60 + 2 + 517 + 0 + 0 + 6 + 73 + 0 = 666.

It is a super-2 number, since 2×1166025170067302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 181027524 + ... + 181670496.

It is an arithmetic number, because the mean of its divisors is an integer number (2453183710380).

Almost surely, 2116602517006730 is an apocalyptic number.

116602517006730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116602517006730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157003757464320).

116602517006730 is an abundant number, since it is smaller than the sum of its proper divisors (197404997921910).

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

116602517006730 is a wasteful number, since it uses less digits than its factorization.

116602517006730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649613 (or 649607 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 116602517006730 in words is "one hundred sixteen trillion, six hundred two billion, five hundred seventeen million, six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 4635 5562 6521 9270 13042 13905 19563 27810 32605 39126 58689 65210 97815 117378 176067 195630 293445 352134 586890 642973 671663 880335 1285946 1343326 1760670 1928919 2014989 3214865 3358315 3857838 4029978 5786757 6044967 6429730 6716630 9644595 10074945 11573514 12089934 17360271 18134901 19289190 20149890 28933785 30224835 34720542 36269802 57867570 60449670 66226219 86801355 90674505 132452438 173602710 181349010 198678657 331131095 397357314 596035971 662262190 993393285 1192071942 1788107913 1986786570 2980179855 3576215826 4192826933 5960359710 8385653866 8940539565 12578480799 17881079130 20964134665 25156961598 37735442397 41928269330 62892403995 75470884794 113206327191 125784807990 188677211985 226412654382 377354423970 431861174099 566031635955 863722348198 1132063271910 1295583522297 2159305870495 2591167044594 3886750566891 4318611740990 6477917611485 7773501133782 11660251700673 12955835222970 19433752834455 23320503401346 38867505668910 58301258503365 116602517006730