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78993290688 = 2631379400607
BaseRepresentation
bin100100110010001011…
…1011111010111000000
321112220011210221102220
41021210113133113000
52243234240300223
6100142232211040
75464345615014
oct1114427372700
9245804727386
1078993290688
1130556720514
1213386839a80
1375ab6b8b30
143b751a2544
1520c4e146e3
hex12645df5c0

78993290688 has 112 divisors (see below), whose sum is σ = 227929927680. Its totient is φ = 23997901824.

The previous prime is 78993290683. The next prime is 78993290699. The reversal of 78993290688 is 88609239987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78993290681) 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, 3120 + ... + 397487.

It is an arithmetic number, because the mean of its divisors is an integer number (2035088640).

Almost surely, 278993290688 is an apocalyptic number.

78993290688 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78993290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113964963840).

78993290688 is an abundant number, since it is smaller than the sum of its proper divisors (148936636992).

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

78993290688 is a wasteful number, since it uses less digits than its factorization.

78993290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400714 (or 400704 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 78993290688 in words is "seventy-eight billion, nine hundred ninety-three million, two hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 156 158 192 208 237 312 316 416 474 624 632 832 948 1027 1248 1264 1896 2054 2496 2528 3081 3792 4108 5056 6162 7584 8216 12324 15168 16432 24648 32864 49296 65728 98592 197184 400607 801214 1201821 1602428 2403642 3204856 4807284 5207891 6409712 9614568 10415782 12819424 15623673 19229136 20831564 25638848 31247346 31647953 38458272 41663128 62494692 63295906 76916544 83326256 94943859 124989384 126591812 166652512 189887718 249978768 253183624 333305024 379775436 411423389 499957536 506367248 759550872 822846778 999915072 1012734496 1234270167 1519101744 1645693556 2025468992 2468540334 3038203488 3291387112 4937080668 6076406976 6582774224 9874161336 13165548448 19748322672 26331096896 39496645344 78993290688