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189485492920 = 23519419595043
BaseRepresentation
bin1011000001111000110…
…1110010101010111000
3200010002120101101100021
42300132031302222320
511101031241233140
6223014243420224
716455425054263
oct2603615625270
9603076341307
10189485492920
11733a6691429
1230882384674
1314b39b6a759
1492578abcda
154de0334b4a
hex2c1e372ab8

189485492920 has 64 divisors (see below), whose sum is σ = 449853264000. Its totient is φ = 71633536128.

The previous prime is 189485492881. The next prime is 189485492923. The reversal of 189485492920 is 29294584981.

189485492920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189485492923) 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 15 ways as a sum of consecutive naturals, for example, 20919 + ... + 615961.

It is an arithmetic number, because the mean of its divisors is an integer number (7028957250).

Almost surely, 2189485492920 is an apocalyptic number.

189485492920 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 189485492920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224926632000).

189485492920 is an abundant number, since it is smaller than the sum of its proper divisors (260367771080).

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

189485492920 is a wasteful number, since it uses less digits than its factorization.

189485492920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595492 (or 595488 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 189485492920 in words is "one hundred eighty-nine billion, four hundred eighty-five million, four hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 419 760 838 1676 2095 3352 4190 7961 8380 15922 16760 31844 39805 63688 79610 159220 318440 595043 1190086 2380172 2975215 4760344 5950430 11305817 11900860 22611634 23801720 45223268 56529085 90446536 113058170 226116340 249323017 452232680 498646034 997292068 1246615085 1994584136 2493230170 4737137323 4986460340 9474274646 9972920680 18948549292 23685686615 37897098584 47371373230 94742746460 189485492920