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189657923364 = 223471323307911
BaseRepresentation
bin1011000010100001111…
…1100011111100100100
3200010112120211202110000
42300220133203330210
511101404412021424
6223043323301300
716462620515040
oct2605037437444
9603476752400
10189657923364
1173484a53a28
123091007a830
1314b667c10c0
149272755020
154e005453c9
hex2c287e3f24

189657923364 has 480 divisors, whose sum is σ = 639526035456. Its totient is φ = 47636709120.

The previous prime is 189657923363. The next prime is 189657923417. The reversal of 189657923364 is 463329756981.

189657923364 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 579 + 23 + 36 + 4 = 666.

189657923364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (189657923363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 208186069 + ... + 208186979.

Almost surely, 2189657923364 is an apocalyptic number.

189657923364 is a gapful number since it is divisible by the number (14) 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 189657923364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319763017728).

189657923364 is an abundant number, since it is smaller than the sum of its proper divisors (449868112092).

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

189657923364 is a wasteful number, since it uses less digits than its factorization.

189657923364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1266 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 189657923364 in words is "one hundred eighty-nine billion, six hundred fifty-seven million, nine hundred twenty-three thousand, three hundred sixty-four".