Search a number
-
+
52540095552 = 26372173110597
BaseRepresentation
bin110000111011101000…
…100011110001000000
312000121121110101122220
4300323220203301000
51330100231024202
640045300331040
73536664305100
oct607350436100
9160547411586
1052540095552
112031157247a
12a2236a3a80
134c5409a349
142785c1b200
151577890abc
hexc3ba23c40

52540095552 has 336 divisors, whose sum is σ = 176760396288. Its totient is φ = 13671383040.

The previous prime is 52540095527. The next prime is 52540095589. The reversal of 52540095552 is 25559004525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×525400955522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4952718 + ... + 4963314.

It is an arithmetic number, because the mean of its divisors is an integer number (526072608).

Almost surely, 252540095552 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 52540095552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88380198144).

52540095552 is an abundant number, since it is smaller than the sum of its proper divisors (124220300736).

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

52540095552 is a wasteful number, since it uses less digits than its factorization.

52540095552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674 (or 10657 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 52540095552 in words is "fifty-two billion, five hundred forty million, ninety-five thousand, five hundred fifty-two".