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10624430855764 = 22112191607718937
BaseRepresentation
bin1001101010011011000101…
…1011010101011001010100
31101121200111212001101000101
42122212301123111121110
52343032313244341024
634332443545223444
72144406205136125
oct232466133253124
941550455041011
1010624430855764
113426883270100
121237104491b84
135c0b58437cab
1428a321d2604c
15136574a0cc44
hex9a9b16d5654

10624430855764 has 72 divisors (see below), whose sum is σ = 21525693900480. Its totient is φ = 4572260415360.

The previous prime is 10624430855719. The next prime is 10624430855789. The reversal of 10624430855764 is 46755803442601.

10624430855764 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 2×106244308557642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14418504 + ... + 15137440.

It is an arithmetic number, because the mean of its divisors is an integer number (298967970840).

Almost surely, 210624430855764 is an apocalyptic number.

It is an amenable number.

10624430855764 is an abundant number, since it is smaller than the sum of its proper divisors (10901263044716).

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

10624430855764 is a wasteful number, since it uses less digits than its factorization.

10624430855764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720589 (or 720576 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 10624430855764 in words is "ten trillion, six hundred twenty-four billion, four hundred thirty million, eight hundred fifty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 1607 2299 3214 4598 6428 9196 17677 30533 35354 61066 70708 122132 194447 335863 388894 671726 718937 777788 1343452 1437874 2875748 3694493 7388986 7908307 13659803 14777972 15816614 27319606 31633228 54639212 86991377 150257833 173982754 300515666 347965508 601031332 1155331759 1652836163 2310663518 3305672326 4621327036 6611344652 12708649349 21951303421 25417298698 43902606842 50834597396 87805213684 139795142839 241464337631 279590285678 482928675262 559180571356 965857350524 2656107713941 5312215427882 10624430855764