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198541856052 = 22338392191121
BaseRepresentation
bin1011100011101000000…
…1000100110100110100
3200222110201112022001000
42320322001010310310
511223103203343202
6231113041003300
720226023634321
oct2707201046464
9628421468030
10198541856052
117722377a061
123258b323530
13159511c34c7
149876595b48
15527044691c
hex2e3a044d34

198541856052 has 48 divisors (see below), whose sum is σ = 515351894400. Its totient is φ = 66101708160.

The previous prime is 198541856047. The next prime is 198541856059. The reversal of 198541856052 is 250658145891.

198541856052 is a `hidden beast` number, since 1 + 98 + 541 + 8 + 5 + 6 + 0 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198541856052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198541856059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004949 + ... + 1186172.

It is an arithmetic number, because the mean of its divisors is an integer number (10736497800).

Almost surely, 2198541856052 is an apocalyptic number.

198541856052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198541856052 is an abundant number, since it is smaller than the sum of its proper divisors (316810038348).

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

198541856052 is a wasteful number, since it uses less digits than its factorization.

198541856052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191973 (or 2191965 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 198541856052 in words is "one hundred ninety-eight billion, five hundred forty-one million, eight hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 839 1678 2517 3356 5034 7551 10068 15102 22653 30204 45306 90612 2191121 4382242 6573363 8764484 13146726 19720089 26293452 39440178 59160267 78880356 118320534 236641068 1838350519 3676701038 5515051557 7353402076 11030103114 16545154671 22060206228 33090309342 49635464013 66180618684 99270928026 198541856052