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190389104640 = 2123357101487
BaseRepresentation
bin1011000101010000010…
…0110011000000000000
3200012102112200121121000
42301110010303000000
511104404102322030
6223244043132000
716520006454630
oct2612404630000
9605375617530
10190389104640
117381a760279
1230a94b14000
1314c5212a047
1493018c86c0
154e44826860
hex2c54133000

190389104640 has 832 divisors, whose sum is σ = 782813214720. Its totient is φ = 42998169600.

The previous prime is 190389104617. The next prime is 190389104641. The reversal of 190389104640 is 46401983091.

190389104640 is a `hidden beast` number, since 190 + 389 + 1 + 0 + 46 + 40 = 666.

It is a super-2 number, since 2×1903891046402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190389104641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390942477 + ... + 390942963.

Almost surely, 2190389104640 is an apocalyptic number.

190389104640 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 190389104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391406607360).

190389104640 is an abundant number, since it is smaller than the sum of its proper divisors (592424110080).

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

190389104640 is a wasteful number, since it uses less digits than its factorization.

190389104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 190389104640 in words is "one hundred ninety billion, three hundred eighty-nine million, one hundred four thousand, six hundred forty".