Search a number
-
+
10716364824 = 23311109737003
BaseRepresentation
bin10011111101011111…
…01100000000011000
31000122211201201220220
421332233230000120
5133421342133244
64531212520040
7526363412064
oct117657540030
930584651826
1010716364824
1145aa121560
1220b0a80020
13101a239499
1473935aaa4
1542ac14319
hex27ebec018

10716364824 has 64 divisors (see below), whose sum is σ = 29253882240. Its totient is φ = 3244335360.

The previous prime is 10716364811. The next prime is 10716364847. The reversal of 10716364824 is 42846361701.

10716364824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107163648242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271107 + ... + 308109.

It is an arithmetic number, because the mean of its divisors is an integer number (457091910).

Almost surely, 210716364824 is an apocalyptic number.

It is an amenable number.

10716364824 is an abundant number, since it is smaller than the sum of its proper divisors (18537517416).

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

10716364824 is a wasteful number, since it uses less digits than its factorization.

10716364824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38120 (or 38116 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 10716364824 in words is "ten billion, seven hundred sixteen million, three hundred sixty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1097 2194 3291 4388 6582 8776 12067 13164 24134 26328 36201 37003 48268 72402 74006 96536 111009 144804 148012 222018 289608 296024 407033 444036 814066 888072 1221099 1628132 2442198 3256264 4884396 9768792 40592291 81184582 121776873 162369164 243553746 324738328 446515201 487107492 893030402 974214984 1339545603 1786060804 2679091206 3572121608 5358182412 10716364824