Search a number
-
+
46454483286540 = 223457109105135759
BaseRepresentation
bin10101001000000000001101…
…11110010111101000001100
320002111000010210221122210000
422210000012332113220030
522042102240210132130
6242444521153244300
712533140254542010
oct1244000676275014
9202430123848700
1046454483286540
111389026582745a
125263234563690
131cbc83caa9884
14b685a2396540
155585c382e260
hex2a4006f97a0c

46454483286540 has 480 divisors, whose sum is σ = 168240512563200. Its totient is φ = 10510449062400.

The previous prime is 46454483286473. The next prime is 46454483286569. The reversal of 46454483286540 is 4568238445464.

46454483286540 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 4 + 4 + 8 + 3 + 2 + 86 + 540 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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, 1299081181 + ... + 1299116939.

It is an arithmetic number, because the mean of its divisors is an integer number (350501067840).

Almost surely, 246454483286540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46454483286540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84120256281600).

46454483286540 is an abundant number, since it is smaller than the sum of its proper divisors (121786029276660).

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

46454483286540 is a wasteful number, since it uses less digits than its factorization.

46454483286540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36947 (or 36936 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 63.

The spelling of 46454483286540 in words is "forty-six trillion, four hundred fifty-four billion, four hundred eighty-three million, two hundred eighty-six thousand, five hundred forty".