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24732920052 = 223673116189
BaseRepresentation
bin10111000010001100…
…100110100011110100
32100211200100112000000
4113002030212203310
5401123111420202
615210120151300
71533622231431
oct270214464364
970750315000
1024732920052
11a5420a79a5
124963008530
1324420c3849
1412a8b02b88
1599b51791c
hex5c23268f4

24732920052 has 84 divisors (see below), whose sum is σ = 65783757060. Its totient is φ = 8131300992.

The previous prime is 24732920039. The next prime is 24732920117. The reversal of 24732920052 is 25002923742.

It can be written as a sum of positive squares in 2 ways, for example, as 8367858576 + 16365061476 = 91476^2 + 127926^2 .

It is a super-2 number, since 2×247329200522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24732919989 and 24732920016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 154774 + ... + 270962.

It is an arithmetic number, because the mean of its divisors is an integer number (783139965).

Almost surely, 224732920052 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 24732920052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32891878530).

24732920052 is an abundant number, since it is smaller than the sum of its proper divisors (41050837008).

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

24732920052 is a wasteful number, since it uses less digits than its factorization.

24732920052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116284 (or 116267 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 24732 and 920052, that added together give a square (944784 = 9722).

The spelling of 24732920052 in words is "twenty-four billion, seven hundred thirty-two million, nine hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 729 876 972 1314 1458 1971 2628 2916 3942 5913 7884 11826 17739 23652 35478 53217 70956 106434 116189 212868 232378 348567 464756 697134 1045701 1394268 2091402 3137103 4182804 6274206 8481797 9411309 12548412 16963594 18822618 25445391 28233927 33927188 37645236 50890782 56467854 76336173 84701781 101781564 112935708 152672346 169403562 229008519 305344692 338807124 458017038 687025557 916034076 1374051114 2061076671 2748102228 4122153342 6183230013 8244306684 12366460026 24732920052