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189475614720 = 2123657337
BaseRepresentation
bin1011000001110110100…
…0000111000000000000
3200010001212210112000000
42300131220013000000
511101021224132340
6223013252000000
716455245103000
oct2603550070000
9603055715000
10189475614720
11733a1054827
123087b000000
1314b37abc472
14925645a000
154dde532d30
hex2c1da07000

189475614720 has 1456 divisors, whose sum is σ = 816491985600. Its totient is φ = 42138206208.

The previous prime is 189475614719. The next prime is 189475614721. The reversal of 189475614720 is 27416574981.

189475614720 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 7 + 561 + 4 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (189475614719) and next prime (189475614721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189475614721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5120962542 + ... + 5120962578.

Almost surely, 2189475614720 is an apocalyptic number.

189475614720 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 189475614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408245992800).

189475614720 is an abundant number, since it is smaller than the sum of its proper divisors (627016370880).

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

189475614720 is an frugal number, since it uses more digits than its factorization.

189475614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 189475614720 in words is "one hundred eighty-nine billion, four hundred seventy-five million, six hundred fourteen thousand, seven hundred twenty".