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189399306240 = 2123452931127
BaseRepresentation
bin1011000001100100010…
…1000001000000000000
3200002212120012122110000
42300121011001000000
511100342210244430
6223001524240000
716453330353204
oct2603105010000
9602776178400
10189399306240
1173361a75071
1230859540000
1314b25052411
14924a274b04
154dd79ace60
hex2c19141000

189399306240 has 1040 divisors, whose sum is σ = 730726318080. Its totient is φ = 46820229120.

The previous prime is 189399306233. The next prime is 189399306251. The reversal of 189399306240 is 42603993981.

189399306240 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 9 + 9 + 3 + 0 + 624 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1491333057 + ... + 1491333183.

Almost surely, 2189399306240 is an apocalyptic number.

189399306240 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 189399306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365363159040).

189399306240 is an abundant number, since it is smaller than the sum of its proper divisors (541327011840).

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

189399306240 is a wasteful number, since it uses less digits than its factorization.

189399306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 189399306240 in words is "one hundred eighty-nine billion, three hundred ninety-nine million, three hundred six thousand, two hundred forty".