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78936089460 = 223517179432337
BaseRepresentation
bin100100110000011110…
…1010010001101110100
321112202012011211002220
41021200331102031310
52243130114330320
6100132430202340
75463052455414
oct1114075221564
9245665154086
1078936089460
1130527401378
121336b6533b0
13759c8aba57
143b6b752644
1520bedb5e40
hex1260f52374

78936089460 has 96 divisors (see below), whose sum is σ = 235330220160. Its totient is φ = 19700686848.

The previous prime is 78936089431. The next prime is 78936089461. The reversal of 78936089460 is 6498063987.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 78936089394 and 78936089403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78936089461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33589 + ... + 398748.

It is an arithmetic number, because the mean of its divisors is an integer number (2451356460).

Almost surely, 278936089460 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 78936089460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117665110080).

78936089460 is an abundant number, since it is smaller than the sum of its proper divisors (156394130700).

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

78936089460 is a wasteful number, since it uses less digits than its factorization.

78936089460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432545 (or 432543 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 78936089460 in words is "seventy-eight billion, nine hundred thirty-six million, eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 340 358 510 537 716 895 1020 1074 1790 2148 2685 3043 3580 5370 6086 9129 10740 12172 15215 18258 30430 36516 45645 60860 91290 182580 432337 864674 1297011 1729348 2161685 2594022 4323370 5188044 6485055 7349729 8646740 12970110 14699458 22049187 25940220 29398916 36748645 44098374 73497290 77388323 88196748 110245935 146994580 154776646 220491870 232164969 309553292 386941615 440983740 464329938 773883230 928659876 1160824845 1315601491 1547766460 2321649690 2631202982 3946804473 4643299380 5262405964 6578007455 7893608946 13156014910 15787217892 19734022365 26312029820 39468044730 78936089460