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10232054016 = 28337935153
BaseRepresentation
bin10011000011110000…
…01100000100000000
3222102002102012101120
421201320030010000
5131423401212031
64411152232240
7511363011162
oct114170140400
928362365346
1010232054016
114380800698
121b9683b680
13c70ab8642
146d0cca932
153ed449a96
hex261e0c100

10232054016 has 72 divisors (see below), whose sum is σ = 27304814880. Its totient is φ = 3401588736.

The previous prime is 10232053991. The next prime is 10232054057. The reversal of 10232054016 is 61045023201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273496 + ... + 308648.

It is an arithmetic number, because the mean of its divisors is an integer number (379233540).

Almost surely, 210232054016 is an apocalyptic number.

10232054016 is a gapful number since it is divisible by the number (16) 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 10232054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652407440).

10232054016 is an abundant number, since it is smaller than the sum of its proper divisors (17072760864).

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

10232054016 is an equidigital number, since it uses as much as digits as its factorization.

10232054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35551 (or 35537 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10232054016 its reverse (61045023201), we get a palindrome (71277077217).

The spelling of 10232054016 in words is "ten billion, two hundred thirty-two million, fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 758 768 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 35153 36384 48512 70306 72768 97024 105459 140612 145536 210918 281224 291072 421836 562448 843672 1124896 1687344 2249792 3374688 4499584 6749376 8999168 13322987 13498752 26645974 26997504 39968961 53291948 79937922 106583896 159875844 213167792 319751688 426335584 639503376 852671168 1279006752 1705342336 2558013504 3410684672 5116027008 10232054016