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189870714144 = 2533219757771
BaseRepresentation
bin1011000011010100101…
…1010010110100100000
3200011002102020122112000
42300311023102310200
511102323400323034
6223120404204000
716501113304236
oct2606513226440
9604072218460
10189870714144
1173584082881
123096b399600
1314b9b9062c7
149292b06956
154e14079599
hex2c352d2d20

189870714144 has 48 divisors (see below), whose sum is σ = 553789585440. Its totient is φ = 63290237760.

The previous prime is 189870714133. The next prime is 189870714149. The reversal of 189870714144 is 441417078981.

189870714144 is a `hidden beast` number, since 1 + 8 + 98 + 70 + 71 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (189870714149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109878022 + ... + 109879749.

It is an arithmetic number, because the mean of its divisors is an integer number (11537283030).

Almost surely, 2189870714144 is an apocalyptic number.

It is an amenable number.

189870714144 is an abundant number, since it is smaller than the sum of its proper divisors (363918871296).

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

189870714144 is a wasteful number, since it uses less digits than its factorization.

189870714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219757790 (or 219757776 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 189870714144 in words is "one hundred eighty-nine billion, eight hundred seventy million, seven hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 219757771 439515542 659273313 879031084 1318546626 1758062168 1977819939 2637093252 3516124336 3955639878 5274186504 5933459817 7032248672 7911279756 10548373008 11866919634 15822559512 21096746016 23733839268 31645119024 47467678536 63290238048 94935357072 189870714144