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99963785070 = 23354217511171
BaseRepresentation
bin101110100011001001…
…1100100111101101110
3100120000122111102201000
41131012103210331232
53114211212110240
6113531150501130
710136124103422
oct1350623447556
9316018442630
1099963785070
1139437a50306
12174598047a6
13957116c9a6
144ba4314b82
152900e84430
hex17464e4f6e

99963785070 has 128 divisors (see below), whose sum is σ = 267787560960. Its totient is φ = 26535600000.

The previous prime is 99963785039. The next prime is 99963785081. The reversal of 99963785070 is 7058736999.

99963785070 is a `hidden beast` number, since 9 + 9 + 96 + 37 + 8 + 507 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99963784989 and 99963785007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85365585 + ... + 85366755.

It is an arithmetic number, because the mean of its divisors is an integer number (2092090320).

Almost surely, 299963785070 is an apocalyptic number.

99963785070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 316170×316171.

It is a practical number, because each smaller number is the sum of distinct divisors of 99963785070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133893780480).

99963785070 is an abundant number, since it is smaller than the sum of its proper divisors (167823775890).

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

99963785070 is a wasteful number, since it uses less digits than its factorization.

99963785070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 99963785070 in words is "ninety-nine billion, nine hundred sixty-three million, seven hundred eighty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 421 751 842 1171 1263 1502 2105 2253 2342 2526 3513 3755 3789 4210 4506 5855 6315 6759 7026 7510 7578 10539 11265 11367 11710 12630 13518 17565 18945 20277 21078 22530 22734 31617 33795 35130 37890 40554 52695 56835 63234 67590 101385 105390 113670 158085 202770 316170 316171 492991 632342 879421 948513 985982 1478973 1580855 1758842 1897026 2464955 2638263 2845539 2957946 3161710 4397105 4436919 4742565 4929910 5276526 5691078 7394865 7914789 8536617 8794210 8873838 9485130 13191315 13310757 14227695 14789730 15829578 17073234 22184595 23744367 26382630 26621514 28455390 39573945 42683085 44369190 47488734 66553785 79147890 85366170 118721835 133107570 237443670 370236241 740472482 1110708723 1851181205 2221417446 3332126169 3702362410 5553543615 6664252338 9996378507 11107087230 16660630845 19992757014 33321261690 49981892535 99963785070