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78963401920 = 26513109174143
BaseRepresentation
bin100100110001010010…
…1011110010011000000
321112211002120102202111
41021202211132103000
52243204112330140
6100135243425104
75463533561524
oct1114245362300
9245732512674
1078963401920
1130540866657
1213378825194
1375a5452680
143b71221d84
1520c24ad7ea
hex126295e4c0

78963401920 has 112 divisors (see below), whose sum is σ = 204354501120. Its totient is φ = 28888068096.

The previous prime is 78963401897. The next prime is 78963401929. The reversal of 78963401920 is 2910436987.

It is not an unprimeable number, because it can be changed into a prime (78963401929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366369 + ... + 540511.

It is an arithmetic number, because the mean of its divisors is an integer number (1824593760).

Almost surely, 278963401920 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 78963401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102177250560).

78963401920 is an abundant number, since it is smaller than the sum of its proper divisors (125391099200).

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

78963401920 is a wasteful number, since it uses less digits than its factorization.

78963401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174282 (or 174272 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 78963401920 in words is "seventy-eight billion, nine hundred sixty-three million, four hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 109 130 160 208 218 260 320 416 436 520 545 832 872 1040 1090 1417 1744 2080 2180 2834 3488 4160 4360 5668 6976 7085 8720 11336 14170 17440 22672 28340 34880 45344 56680 90688 113360 174143 226720 348286 453440 696572 870715 1393144 1741430 2263859 2786288 3482860 4527718 5572576 6965720 9055436 11145152 11319295 13931440 18110872 18981587 22638590 27862880 36221744 37963174 45277180 55725760 72443488 75926348 90554360 94907935 144886976 151852696 181108720 189815870 246760631 303705392 362217440 379631740 493521262 607410784 724434880 759263480 987042524 1214821568 1233803155 1518526960 1974085048 2467606310 3037053920 3948170096 4935212620 6074107840 7896340192 9870425240 15792680384 19740850480 39481700960 78963401920