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198195626138112 = 29344779022621
BaseRepresentation
bin101101000100001000000011…
…111001000101101000000000
3221222202022112221212200120000
4231010020003321011220000
5201434214120242404422
61541305451431320000
756514106243460511
oct5504100371055000
9858668487780500
10198195626138112
1158173325007579
121a28b782220000
1386789c8b35c25
1436d2a103c2a08
1517da7ca561cac
hexb44203e45a00

198195626138112 has 100 divisors (see below), whose sum is σ = 591561757219026. Its totient is φ = 66065208698880.

The previous prime is 198195626138099. The next prime is 198195626138137. The reversal of 198195626138112 is 211831626591891.

It is a happy number.

198195626138112 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 9 + 5 + 6 + 2 + 613 + 8 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165725869383936 + 32469756754176 = 12873456^2 + 5698224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198195626138112.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2389469839 + ... + 2389552782.

Almost surely, 2198195626138112 is an apocalyptic number.

198195626138112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198195626138112 is an abundant number, since it is smaller than the sum of its proper divisors (393366131080914).

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

198195626138112 is an frugal number, since it uses more digits than its factorization.

198195626138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779022651 (or 4779022626 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 63.

The spelling of 198195626138112 in words is "one hundred ninety-eight trillion, one hundred ninety-five billion, six hundred twenty-six million, one hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 4779022621 9558045242 14337067863 19116090484 28674135726 38232180968 43011203589 57348271452 76464361936 86022407178 114696542904 129033610767 152928723872 172044814356 229393085808 258067221534 305857447744 344089628712 387100832301 458786171616 516134443068 611714895488 688179257424 774201664602 917572343232 1032268886136 1223429790976 1376358514848 1548403329204 1835144686464 2064537772272 2446859581952 2752717029696 3096806658408 3670289372928 4129075544544 5505434059392 6193613316816 7340578745856 8258151089088 11010868118784 12387226633632 16516302178176 22021736237568 24774453267264 33032604356352 49548906534528 66065208712704 99097813069056 198195626138112