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198889212480 = 26357217733407
BaseRepresentation
bin1011100100111010111…
…0001000101001000000
3201000100221010211110220
42321032232020221000
511224311114244410
6231211330023040
720240442261300
oct2711656105100
9630327124426
10198889212480
1177391859092
1232667717a80
13159a816235a
1498aa775600
155290bac070
hex2e4eb88a40

198889212480 has 672 divisors, whose sum is σ = 788666927616. Its totient is φ = 42187751424.

The previous prime is 198889212479. The next prime is 198889212607. The reversal of 198889212480 is 84212988891.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1988892124803 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 58374937 + ... + 58378343.

Almost surely, 2198889212480 is an apocalyptic number.

198889212480 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 198889212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394333463808).

198889212480 is an abundant number, since it is smaller than the sum of its proper divisors (589777715136).

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

198889212480 is a wasteful number, since it uses less digits than its factorization.

198889212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 60.

The spelling of 198889212480 in words is "one hundred ninety-eight billion, eight hundred eighty-nine million, two hundred twelve thousand, four hundred eighty".