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10263253564432 = 2411225121120587
BaseRepresentation
bin1001010101011001100110…
…0101010011110000010000
31100100011020210020221102101
42111112121211103300100
52321123120403030212
633454512410330144
72106331663620511
oct225263145236020
940304223227371
1010263253564432
1132a7692090400
121199106a29954
13595a88ca901b
14276a5bc32a08
1512be86599157
hex95599953c10

10263253564432 has 60 divisors (see below), whose sum is σ = 21944206449648. Its totient is φ = 4646528920000.

The previous prime is 10263253564423. The next prime is 10263253564463. The reversal of 10263253564432 is 23446535236201.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10074358 + ... + 11046229.

Almost surely, 210263253564432 is an apocalyptic number.

It is an amenable number.

10263253564432 is an abundant number, since it is smaller than the sum of its proper divisors (11680952885216).

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

10263253564432 is a wasteful number, since it uses less digits than its factorization.

10263253564432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120868 (or 21120851 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 10263253564432 in words is "ten trillion, two hundred sixty-three billion, two hundred fifty-three million, five hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 251 484 502 968 1004 1936 2008 2761 4016 5522 11044 22088 30371 44176 60742 121484 242968 485936 21120587 42241174 84482348 168964696 232326457 337929392 464652914 929305828 1858611656 2555591027 3717223312 5111182054 5301267337 10222364108 10602534674 20444728216 21205069348 40889456432 42410138696 58313940707 84820277392 116627881414 233255762828 466511525656 641453347777 933023051312 1282906695554 2565813391108 5131626782216 10263253564432