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193387912020 = 223351063336901
BaseRepresentation
bin1011010000011011010…
…0010101101101010100
3200111011112110210222000
42310012310111231110
511132024301141040
6224501410035300
716654222062402
oct2640664255524
9614145423860
10193387912020
1175019486686
1231591278b30
131530c4b4794
149507ca0472
15506cc32130
hex2d06d15b54

193387912020 has 96 divisors (see below), whose sum is σ = 602219063040. Its totient is φ = 51521443200.

The previous prime is 193387912009. The next prime is 193387912031. The reversal of 193387912020 is 20219783391.

It is an interprime number because it is at equal distance from previous prime (193387912009) and next prime (193387912031).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405570 + ... + 742470.

It is an arithmetic number, because the mean of its divisors is an integer number (6273115240).

Almost surely, 2193387912020 is an apocalyptic number.

193387912020 is a gapful number since it is divisible by the number (10) 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 193387912020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301109531520).

193387912020 is an abundant number, since it is smaller than the sum of its proper divisors (408831151020).

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

193387912020 is a wasteful number, since it uses less digits than its factorization.

193387912020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337982 (or 337974 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 193387912020 in words is "one hundred ninety-three billion, three hundred eighty-seven million, nine hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1063 2126 3189 4252 5315 6378 9567 10630 12756 15945 19134 21260 28701 31890 38268 47835 57402 63780 95670 114804 143505 191340 287010 336901 574020 673802 1010703 1347604 1684505 2021406 3032109 3369010 4042812 5053515 6064218 6738020 9096327 10107030 12128436 15160545 18192654 20214060 30321090 36385308 45481635 60642180 90963270 181926540 358125763 716251526 1074377289 1432503052 1790628815 2148754578 3223131867 3581257630 4297509156 5371886445 6446263734 7162515260 9669395601 10743772890 12892527468 16115659335 19338791202 21487545780 32231318670 38677582404 48346978005 64462637340 96693956010 193387912020