Search a number
-
+
534972299509824 = 263115910334156091
BaseRepresentation
bin111100110100011011111000…
…1111000001000000001000000
32121011011212000101000211102020
41321220313301320020001000
51030104441232133303244
65133442514231521440
7220453321203130551
oct17150676170100100
92534155011024366
10534972299509824
111455055294130a0
1250001270829280
1319c678960350b7
149616b242c6328
1541caccd0e5d19
hex1e68df1e08040

534972299509824 has 224 divisors, whose sum is σ = 1571816705057280. Its totient is φ = 159210830745600.

The previous prime is 534972299509789. The next prime is 534972299509841. The reversal of 534972299509824 is 428905992279435.

It is a super-2 number, since 2×5349722995098242 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 534972299509824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126642019 + ... + 130798109.

Almost surely, 2534972299509824 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 534972299509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785908352528640).

534972299509824 is an abundant number, since it is smaller than the sum of its proper divisors (1036844405547456).

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

534972299509824 is a wasteful number, since it uses less digits than its factorization.

534972299509824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157209 (or 4157199 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 78.

The spelling of 534972299509824 in words is "five hundred thirty-four trillion, nine hundred seventy-two billion, two hundred ninety-nine million, five hundred nine thousand, eight hundred twenty-four".