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198514589940 = 223351761714993
BaseRepresentation
bin1011100011100001100…
…1000100000011110100
3200222101211020000222000
42320320121010003310
511223024213334230
6231110224335300
720225243113302
oct2707031040364
9628354200860
10198514589940
117720a346687
1232582174530
1315948667a04
149872ad9272
15526cd5cb60
hex2e386440f4

198514589940 has 384 divisors, whose sum is σ = 674146851840. Its totient is φ = 48306585600.

The previous prime is 198514589939. The next prime is 198514589941. The reversal of 198514589940 is 49985415891.

198514589940 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 1 + 4 + 589 + 9 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (198514589939) and next prime (198514589941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198514589941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39756084 + ... + 39761076.

It is an arithmetic number, because the mean of its divisors is an integer number (1755590760).

Almost surely, 2198514589940 is an apocalyptic number.

198514589940 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 198514589940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337073425920).

198514589940 is an abundant number, since it is smaller than the sum of its proper divisors (475632261900).

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

198514589940 is a wasteful number, since it uses less digits than its factorization.

198514589940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 198514589940 in words is "one hundred ninety-eight billion, five hundred fourteen million, five hundred eighty-nine thousand, nine hundred forty".