Search a number
-
+
16234570464840 = 233257135371791667
BaseRepresentation
bin1110110000111110011111…
…0011100011111001001000
32010111000021010111001200200
43230033213303203321020
54111441400014333330
654310020403132200
73263623535042640
oct354174763437110
963430233431620
1016234570464840
11519a05187a572
1219a2450974060
13909bb4a48330
14401a86457520
151d2472335a60
hexec3e7ce3e48

16234570464840 has 1536 divisors, whose sum is σ = 67985480908800. Its totient is φ = 3269450096640.

The previous prime is 16234570464829. The next prime is 16234570464869. The reversal of 16234570464840 is 4846407543261.

16234570464840 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 4 + 570 + 4 + 64 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×162345704648402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9738793687 + ... + 9738795353.

It is an arithmetic number, because the mean of its divisors is an integer number (44261380800).

Almost surely, 216234570464840 is an apocalyptic number.

16234570464840 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 16234570464840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33992740454400).

16234570464840 is an abundant number, since it is smaller than the sum of its proper divisors (51750910443960).

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

16234570464840 is a wasteful number, since it uses less digits than its factorization.

16234570464840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 16234570464840 in words is "sixteen trillion, two hundred thirty-four billion, five hundred seventy million, four hundred sixty-four thousand, eight hundred forty".