Search a number
-
+
534093919594632 = 23322321271634211609
BaseRepresentation
bin111100101110000010110111…
…0010110101010100010001000
32121001001212202120020211222200
41321130011232112222202020
51030001043321404012012
65131531205345520200
7220333004136055335
oct17134055626524210
92531055676224880
10534093919594632
111451a6a608a1a91
124ba9ab91043060
1319c02ac079c5a7
1495c63d842798c
1541b301dba03dc
hex1e5c16e5aa888

534093919594632 has 576 divisors, whose sum is σ = 1537984247654400. Its totient is φ = 167410484398080.

The previous prime is 534093919594591. The next prime is 534093919594663. The reversal of 534093919594632 is 236495919390435.

534093919594632 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 9 + 391 + 95 + 94 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 331941527844 + ... + 331941529452.

Almost surely, 2534093919594632 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 534093919594632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768992123827200).

534093919594632 is an abundant number, since it is smaller than the sum of its proper divisors (1003890328059768).

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

534093919594632 is a wasteful number, since it uses less digits than its factorization.

534093919594632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 850305600, while the sum is 72.

The spelling of 534093919594632 in words is "five hundred thirty-four trillion, ninety-three billion, nine hundred nineteen million, five hundred ninety-four thousand, six hundred thirty-two".