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6116604336 = 2432195693929
BaseRepresentation
bin1011011001001001…
…11111100110110000
3120210021110200202100
411230210333212300
5100011322314321
62450540020400
7304401164463
oct55444774660
916707420670
106116604336
112659733407
121228531700
137662a420b
144204c32da
1525bebc326
hex16c93f9b0

6116604336 has 120 divisors (see below), whose sum is σ = 18055206000. Its totient is φ = 1927673856.

The previous prime is 6116604283. The next prime is 6116604349. The reversal of 6116604336 is 6334066116.

6116604336 is a `hidden beast` number, since 6 + 1 + 16 + 604 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6116604336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554820 + ... + 1558748.

It is an arithmetic number, because the mean of its divisors is an integer number (150460050).

Almost surely, 26116604336 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 6116604336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027603000).

6116604336 is an abundant number, since it is smaller than the sum of its proper divisors (11938601664).

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

6116604336 is a wasteful number, since it uses less digits than its factorization.

6116604336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6116604336 is about 78208.7228894578. The cubic root of 6116604336 is about 1828.8164917694.

The spelling of 6116604336 in words is "six billion, one hundred sixteen million, six hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 569 684 912 1138 1368 1707 2276 2736 3414 3929 4552 5121 6828 7858 9104 10242 10811 11787 13656 15716 20484 21622 23574 27312 31432 32433 35361 40968 43244 47148 62864 64866 70722 74651 81936 86488 94296 97299 129732 141444 149302 172976 188592 194598 223953 259464 282888 298604 389196 447906 518928 565776 597208 671859 778392 895812 1194416 1343718 1556784 1791624 2235601 2687436 3583248 4471202 5374872 6706803 8942404 10749744 13413606 17884808 20120409 26827212 35769616 40240818 42476419 53654424 80481636 84952838 107308848 127429257 160963272 169905676 254858514 321926544 339811352 382287771 509717028 679622704 764575542 1019434056 1529151084 2038868112 3058302168 6116604336