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198947342160 = 24335723475417
BaseRepresentation
bin1011100101001000101…
…1111000011101010000
3201000111222112010102000
42321102023320131100
511224421004422120
6231221203554000
720242046335500
oct2712213703520
9630458463360
10198947342160
1177411651846
123268308b900
13159b7205c08
1498b4387a00
155295d40990
hex2e522f8750

198947342160 has 480 divisors, whose sum is σ = 799587573120. Its totient is φ = 45334259712.

The previous prime is 198947342149. The next prime is 198947342171. The reversal of 198947342160 is 61243749891.

198947342160 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 473 + 4 + 2 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (198947342149) and next prime (198947342171).

It is a super-2 number, since 2×1989473421602 (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 junction number, because it is equal to n+sod(n) for n = 198947342097 and 198947342106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36723772 + ... + 36729188.

It is an arithmetic number, because the mean of its divisors is an integer number (1665807444).

Almost surely, 2198947342160 is an apocalyptic number.

198947342160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198947342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399793786560).

198947342160 is an abundant number, since it is smaller than the sum of its proper divisors (600640230960).

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

198947342160 is a wasteful number, since it uses less digits than its factorization.

198947342160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 198947342160 in words is "one hundred ninety-eight billion, nine hundred forty-seven million, three hundred forty-two thousand, one hundred sixty".