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189965781720 = 2332511132373761
BaseRepresentation
bin1011000011101011010…
…1111100101011011000
3200011100001010120201100
42300322311330223120
511103022220003340
6223134041551400
716503346334211
oct2607265745330
9604301116640
10189965781720
1173622805520
12309971a5560
1314bb5510a00
1492a15b2408
154e1c5a7830
hex2c3ad7cad8

189965781720 has 576 divisors, whose sum is σ = 732225368160. Its totient is φ = 42340147200.

The previous prime is 189965781673. The next prime is 189965781757. The reversal of 189965781720 is 27187569981.

It is a super-3 number, since 3×1899657817203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249626140 + ... + 249626900.

Almost surely, 2189965781720 is an apocalyptic number.

189965781720 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 189965781720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366112684080).

189965781720 is an abundant number, since it is smaller than the sum of its proper divisors (542259586440).

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

189965781720 is a wasteful number, since it uses less digits than its factorization.

189965781720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 189965781720 in words is "one hundred eighty-nine billion, nine hundred sixty-five million, seven hundred eighty-one thousand, seven hundred twenty".