Search a number
-
+
10516833879552 = 2932731113193179
BaseRepresentation
bin1001100100001010010000…
…1001011100011000000000
31101020101210020100122120100
42121002210021130120000
52334301433433121202
634211211120442400
72133546643005000
oct231024411343000
941211706318510
1010516833879552
113395189608370
12121a296479400
135b396ba45170
14285035d4c000
1513387888741c
hex990a425c600

10516833879552 has 3840 divisors, whose sum is σ = 45757071360000. Its totient is φ = 2282486169600.

The previous prime is 10516833879529. The next prime is 10516833879553. The reversal of 10516833879552 is 25597833861501.

10516833879552 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 8 + 3 + 3 + 8 + 79 + 552 = 666.

It is a super-2 number, since 2×105168338795522 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10516833879552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516833879553) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 133124479449 + ... + 133124479527.

It is an arithmetic number, because the mean of its divisors is an integer number (11915904000).

Almost surely, 210516833879552 is an apocalyptic number.

10516833879552 is a gapful number since it is divisible by the number (12) 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 10516833879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878535680000).

10516833879552 is an abundant number, since it is smaller than the sum of its proper divisors (35240237480448).

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

10516833879552 is a wasteful number, since it uses less digits than its factorization.

10516833879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 10516833879552 in words is "ten trillion, five hundred sixteen billion, eight hundred thirty-three million, eight hundred seventy-nine thousand, five hundred fifty-two".