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13302922656 = 2531937319553
BaseRepresentation
bin11000110001110101…
…00111110110100000
31021100002210111020010
430120322213312200
5204221022011111
610040011444520
7650441656032
oct143072476640
937302714203
1013302922656
115707175761
1226b3156740
131340083b8a
14902a9dc52
1552cd3baa6
hex318ea7da0

13302922656 has 96 divisors (see below), whose sum is σ = 36858507840. Its totient is φ = 4189446144.

The previous prime is 13302922621. The next prime is 13302922657. The reversal of 13302922656 is 65622920331.

13302922656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13302922657) by changing a digit.

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, 670576 + ... + 690128.

It is an arithmetic number, because the mean of its divisors is an integer number (383942790).

Almost surely, 213302922656 is an apocalyptic number.

13302922656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302922656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429253920).

13302922656 is an abundant number, since it is smaller than the sum of its proper divisors (23555585184).

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

13302922656 is a wasteful number, since it uses less digits than its factorization.

13302922656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958 (or 19950 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 13302922656 in words is "thirteen billion, three hundred two million, nine hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 373 456 608 746 912 1119 1492 1824 2238 2984 4476 5968 7087 8952 11936 14174 17904 19553 21261 28348 35808 39106 42522 56696 58659 78212 85044 113392 117318 156424 170088 226784 234636 312848 340176 371507 469272 625696 680352 743014 938544 1114521 1486028 1877088 2229042 2972056 4458084 5944112 7293269 8916168 11888224 14586538 17832336 21879807 29173076 35664672 43759614 58346152 87519228 116692304 138572111 175038456 233384608 277144222 350076912 415716333 554288444 700153824 831432666 1108576888 1662865332 2217153776 3325730664 4434307552 6651461328 13302922656