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198117693342 = 233192322941307
BaseRepresentation
bin1011100010000010111…
…1000001011110011110
3200221101011101121012000
42320200233001132132
511221221112141332
6231003005423130
720212353415332
oct2704057013636
9627334347160
10198117693342
1177026300368
123249126aaa6
13158b4371b5a
1498361017c2
1552480adb7c
hex2e20bc179e

198117693342 has 384 divisors, whose sum is σ = 515059776000. Its totient is φ = 56186887680.

The previous prime is 198117693281. The next prime is 198117693373. The reversal of 198117693342 is 243396711891.

198117693342 is a `hidden beast` number, since 198 + 117 + 6 + 9 + 334 + 2 = 666.

198117693342 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 2×1981176933422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 645334353 + ... + 645334659.

It is an arithmetic number, because the mean of its divisors is an integer number (1341301500).

Almost surely, 2198117693342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198117693342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257529888000).

198117693342 is an abundant number, since it is smaller than the sum of its proper divisors (316942082658).

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

198117693342 is a wasteful number, since it uses less digits than its factorization.

198117693342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 424 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 198117693342 in words is "one hundred ninety-eight billion, one hundred seventeen million, six hundred ninety-three thousand, three hundred forty-two".