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13563263216064 = 263373189388729
BaseRepresentation
bin1100010101011111000101…
…1111000110100111000000
31210000122011010121121011110
43011113301133012213000
53234210030340403224
644502513242043320
72566625210056152
oct305276137064700
953018133547143
1013563263216064
11435a169545831
1216307994a9540
13775019636943
1434c673260ad2
15187c29256929
hexc55f17c69c0

13563263216064 has 56 divisors (see below), whose sum is σ = 35982343590160. Its totient is φ = 4508966836224.

The previous prime is 13563263216057. The next prime is 13563263216071. The reversal of 13563263216064 is 46061236236531.

13563263216064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13563263216057) and next prime (13563263216071).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 94622749 + ... + 94765980.

Almost surely, 213563263216064 is an apocalyptic number.

It is an amenable number.

13563263216064 is an abundant number, since it is smaller than the sum of its proper divisors (22419080374096).

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

13563263216064 is a wasteful number, since it uses less digits than its factorization.

13563263216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189389117 (or 189389107 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 13563263216064 in words is "thirteen trillion, five hundred sixty-three billion, two hundred sixty-three million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 373 746 1119 1492 2238 2984 4476 5968 8952 11936 17904 23872 35808 71616 189388729 378777458 568166187 757554916 1136332374 1515109832 2272664748 3030219664 4545329496 6060439328 9090658992 12120878656 18181317984 36362635968 70641995917 141283991834 211925987751 282567983668 423851975502 565135967336 847703951004 1130271934672 1695407902008 2260543869344 3390815804016 4521087738688 6781631608032 13563263216064