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10198340157090 = 2351940943745293
BaseRepresentation
bin1001010001100111110001…
…1100010011111010100010
31100002221200212020011220110
42110121330130103322202
52314042200040011330
633405015222552150
72101543243020201
oct224317434237242
940087625204813
1010198340157090
11328210116a718
12118860b598656
1358c91261b317
142738609bd238
1512a4377e6db0
hex9467c713ea2

10198340157090 has 64 divisors (see below), whose sum is σ = 25827221577600. Its totient is φ = 2570123395584.

The previous prime is 10198340157013. The next prime is 10198340157097. The reversal of 10198340157090 is 9075104389101.

10198340157090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101983401570902 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10198340157097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21639517 + ... + 22105776.

It is an arithmetic number, because the mean of its divisors is an integer number (403550337150).

Almost surely, 210198340157090 is an apocalyptic number.

10198340157090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10198340157090 is an abundant number, since it is smaller than the sum of its proper divisors (15628881420510).

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

10198340157090 is a wasteful number, since it uses less digits than its factorization.

10198340157090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43745731.

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 10198340157090 in words is "ten trillion, one hundred ninety-eight billion, three hundred forty million, one hundred fifty-seven thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 409 570 818 1227 2045 2454 4090 6135 7771 12270 15542 23313 38855 46626 77710 116565 233130 43745293 87490586 131235879 218726465 262471758 437452930 656179395 831160567 1312358790 1662321134 2493481701 4155802835 4986963402 8311605670 12467408505 17891824837 24934817010 35783649674 53675474511 89459124185 107350949022 178918248370 268377372555 339944671903 536754745110 679889343806 1019834015709 1699723359515 2039668031418 3399446719030 5099170078545 10198340157090