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13813199790 = 2351323187887
BaseRepresentation
bin11001101110101010…
…01011001110101110
31022122122222020212020
430313111023032232
5211242134343130
610202400451010
7666206155335
oct146725131656
938578866766
1013813199790
1159492114a5
122816019a66
1313c19c6a00
1495076cd1c
1555ca34e10
hex33754b3ae

13813199790 has 96 divisors (see below), whose sum is σ = 37056393216. Its totient is φ = 3290451840.

The previous prime is 13813199767. The next prime is 13813199797. The reversal of 13813199790 is 9799131831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813199797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113227 + ... + 201113.

It is an arithmetic number, because the mean of its divisors is an integer number (386004096).

Almost surely, 213813199790 is an apocalyptic number.

13813199790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13813199790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528196608).

13813199790 is an abundant number, since it is smaller than the sum of its proper divisors (23243193426).

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

13813199790 is a wasteful number, since it uses less digits than its factorization.

13813199790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87954 (or 87941 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 51.

The spelling of 13813199790 in words is "thirteen billion, eight hundred thirteen million, one hundred ninety-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 169 186 195 310 338 390 403 465 507 806 845 930 1014 1209 1690 2015 2418 2535 4030 5070 5239 6045 10478 12090 15717 26195 31434 52390 78585 87887 157170 175774 263661 439435 527322 878870 1142531 1318305 2285062 2636610 2724497 3427593 5448994 5712655 6855186 8173491 11425310 13622485 14852903 16346982 17137965 27244970 29705806 34275930 35418461 40867455 44558709 70836922 74264515 81734910 89117418 106255383 148529030 177092305 212510766 222793545 354184610 445587090 460439993 531276915 920879986 1062553830 1381319979 2302199965 2762639958 4604399930 6906599895 13813199790