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78906552894 = 23413319291301
BaseRepresentation
bin100100101111100110…
…0100111001000111110
321112200010121012120000
41021133030213020332
52243100034143034
6100125453135130
75462243430111
oct1113714471076
9245603535500
1078906552894
1130511768094
121336178a4a6
1375967399b0
143b67864578
1520bc4ce599
hex125f32723e

78906552894 has 160 divisors (see below), whose sum is σ = 196914896640. Its totient is φ = 23452416000.

The previous prime is 78906552889. The next prime is 78906552917. The reversal of 78906552894 is 49825560987.

78906552894 is a `hidden beast` number, since 78 + 9 + 0 + 6 + 552 + 8 + 9 + 4 = 666.

It is a super-2 number, since 2×789065528942 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60650044 + ... + 60651344.

It is an arithmetic number, because the mean of its divisors is an integer number (1230718104).

Almost surely, 278906552894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78906552894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98457448320).

78906552894 is an abundant number, since it is smaller than the sum of its proper divisors (118008343746).

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

78906552894 is a wasteful number, since it uses less digits than its factorization.

78906552894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 78906552894 in words is "seventy-eight billion, nine hundred six million, five hundred fifty-two thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 279 351 403 558 702 806 837 929 1053 1209 1301 1674 1858 2106 2418 2511 2602 2787 3627 3903 5022 5574 7254 7806 8361 10881 11709 12077 16722 16913 21762 23418 24154 25083 28799 32643 33826 35127 36231 40331 50166 50739 57598 65286 70254 72462 75249 80662 86397 101478 105381 108693 120993 150498 152217 172794 210762 217386 241986 259191 304434 326079 362979 374387 456651 518382 524303 652158 725958 748774 777573 913302 978237 1048606 1088937 1123161 1208629 1369953 1555146 1572909 1956474 2177874 2246322 2332719 2417258 2739906 3145818 3266811 3369483 3625887 4665438 4718727 6533622 6738966 7251774 9437454 10108449 10877661 14156181 15712177 20216898 21755322 28312362 30325347 31424354 32632983 37467499 42468543 47136531 60650694 65265966 74934998 84937086 94273062 97898949 112402497 141409593 195797898 224804994 282819186 337207491 424228779 487077487 674414982 848457558 974154974 1011622473 1272686337 1461232461 2023244946 2545372674 2922464922 3034867419 4383697383 6069734838 8767394766 13151092149 26302184298 39453276447 78906552894