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67030135056 = 24325929326927
BaseRepresentation
bin111110011011010011…
…101011000100010000
320102000110000200001200
4332123103223010100
52044234203310211
650443200231200
74562032514163
oct763323530420
9212013020050
1067030135056
1126477844635
1210ba830b500
136423084711
14335c415ada
151b24a20b56
hexf9b4eb110

67030135056 has 120 divisors (see below), whose sum is σ = 191428997760. Its totient is φ = 21888899328.

The previous prime is 67030135049. The next prime is 67030135069. The reversal of 67030135056 is 65053103076.

It is a happy number.

67030135056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 67030135056.

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, 2475865 + ... + 2502791.

It is an arithmetic number, because the mean of its divisors is an integer number (1595241648).

Almost surely, 267030135056 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 67030135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95714498880).

67030135056 is an abundant number, since it is smaller than the sum of its proper divisors (124398862704).

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

67030135056 is a wasteful number, since it uses less digits than its factorization.

67030135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27293 (or 27284 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 67030135056 in words is "sixty-seven billion, thirty million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 293 354 472 531 586 708 879 944 1062 1172 1416 1758 2124 2344 2637 2832 3516 4248 4688 5274 7032 8496 10548 14064 17287 21096 26927 34574 42192 51861 53854 69148 80781 103722 107708 138296 155583 161562 207444 215416 242343 276592 311166 323124 414888 430832 484686 622332 646248 829776 969372 1244664 1292496 1588693 1938744 2489328 3177386 3877488 4766079 6354772 7889611 9532158 12709544 14298237 15779222 19064316 23668833 25419088 28596474 31558444 38128632 47337666 57192948 63116888 71006499 76257264 94675332 114385896 126233776 142012998 189350664 228771792 284025996 378701328 465487049 568051992 930974098 1136103984 1396461147 1861948196 2792922294 3723896392 4189383441 5585844588 7447792784 8378766882 11171689176 16757533764 22343378352 33515067528 67030135056