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122893946450 = 25211245072
BaseRepresentation
bin111001001110100001…
…1001100111001010010
3102202012200122022201022
41302131003030321102
54003141322241300
6132242351435442
711610266211032
oct1623503147122
9382180568638
10122893946450
1148134479a00
121b998b25b82
13b786918912
145d3b8238c2
1532e409b285
hex1c9d0cce52

122893946450 has 54 divisors (see below), whose sum is σ = 251307862533. Its totient is φ = 44678792400.

The previous prime is 122893946423. The next prime is 122893946453. The reversal of 122893946450 is 54649398221.

It can be written as a sum of positive squares in 2 ways, for example, as 120436067521 + 2457878929 = 347039^2 + 49577^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247885.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122893946392 and 122893946401.

It is not an unprimeable number, because it can be changed into a prime (122893946453) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27265097 + ... + 27269603.

Almost surely, 2122893946450 is an apocalyptic number.

122893946450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122893946450 is an abundant number, since it is smaller than the sum of its proper divisors (128413916083).

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

122893946450 is an frugal number, since it uses more digits than its factorization.

122893946450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 122893946450 in words is "one hundred twenty-two billion, eight hundred ninety-three million, nine hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 242 275 550 605 1210 3025 4507 6050 9014 22535 45070 49577 99154 112675 225350 247885 495770 545347 1090694 1239425 2478850 2726735 5453470 13633675 20313049 27267350 40626098 101565245 203130490 223443539 446887078 507826225 1015652450 1117217695 2234435390 2457878929 4915757858 5586088475 11172176950 12289394645 24578789290 61446973225 122893946450