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146036409894 = 23383199163733
BaseRepresentation
bin1000100000000001110…
…0101100011000100110
3111221221112021021102000
42020000130230120212
54343040310104034
6151031015030130
713356630000654
oct2100034543046
9457845237360
10146036409894
1156a2a823251
122437736b346
1310a0436847b
1470d51d7dd4
153beab4c599
hex220072c626

146036409894 has 64 divisors (see below), whose sum is σ = 330087744000. Its totient is φ = 47850349536.

The previous prime is 146036409847. The next prime is 146036409899. The reversal of 146036409894 is 498904630641.

It is a happy number.

146036409894 is a `hidden beast` number, since 1 + 460 + 3 + 6 + 4 + 0 + 98 + 94 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146036409894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146036409899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810052 + ... + 973784.

It is an arithmetic number, because the mean of its divisors is an integer number (5157621000).

Almost surely, 2146036409894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146036409894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165043872000).

146036409894 is an abundant number, since it is smaller than the sum of its proper divisors (184051334106).

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

146036409894 is a wasteful number, since it uses less digits than its factorization.

146036409894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164026 (or 164020 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 146036409894 in words is "one hundred forty-six billion, thirty-six million, four hundred nine thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 83 166 199 249 398 498 597 747 1194 1494 1791 2241 3582 4482 5373 10746 16517 33034 49551 99102 148653 163733 297306 327466 445959 491199 891918 982398 1473597 2947194 4420791 8841582 13589839 27179678 32582867 40769517 65165734 81539034 97748601 122308551 195497202 244617102 293245803 366925653 586491606 733851306 879737409 1759474818 2704377961 5408755922 8113133883 16226267766 24339401649 48678803298 73018204947 146036409894