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78749785368 = 23326121931523
BaseRepresentation
bin100100101010111011…
…0100101110100011000
321112021012121120221100
41021111312211310120
52242234421112433
6100102133111400
75455331062662
oct1112566456430
9245235546840
1078749785368
1130441223351
1213319188560
13757010b647
143b50ad7532
1520ad864b13
hex1255da5d18

78749785368 has 144 divisors (see below), whose sum is σ = 218100996360. Its totient is φ = 25668956160.

The previous prime is 78749785339. The next prime is 78749785379. The reversal of 78749785368 is 86358794787.

78749785368 is a `hidden beast` number, since 7 + 87 + 4 + 9 + 7 + 8 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78749785296 and 78749785305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51706255 + ... + 51707777.

Almost surely, 278749785368 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 78749785368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109050498180).

78749785368 is an abundant number, since it is smaller than the sum of its proper divisors (139351210992).

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

78749785368 is a wasteful number, since it uses less digits than its factorization.

78749785368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1782 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 78749785368 in words is "seventy-eight billion, seven hundred forty-nine million, seven hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 193 244 366 386 488 549 579 732 772 1098 1158 1464 1523 1544 1737 2196 2316 3046 3474 3721 4392 4569 4632 6092 6948 7442 9138 11163 11773 12184 13707 13896 14884 18276 22326 23546 27414 29768 33489 35319 36552 44652 47092 54828 66978 70638 89304 92903 94184 105957 109656 133956 141276 185806 211914 267912 278709 282552 293939 371612 423828 557418 587878 718153 743224 836127 847656 881817 1114836 1175756 1436306 1672254 1763634 2154459 2229672 2351512 2645451 2872612 3344508 3527268 4308918 5290902 5667083 5745224 6463377 6689016 7054536 8617836 10581804 11334166 12926754 17001249 17235672 17930279 21163608 22668332 25853508 34002498 35860558 45336664 51003747 51707016 53790837 68004996 71721116 102007494 107581674 136009992 143442232 161372511 204014988 215163348 322745022 408029976 430326696 645490044 1093747019 1290980088 2187494038 3281241057 4374988076 6562482114 8749976152 9843723171 13124964228 19687446342 26249928456 39374892684 78749785368