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13374532064 = 254761731997
BaseRepresentation
bin11000111010010111…
…10010100111100000
31021112002112121212102
430131023302213200
5204342340011224
610051050345532
7652301434565
oct143513624740
937462477772
1013374532064
115743635993
12271312b2a8
131351b670ca
1490c3c086c
155342844ae
hex31d2f29e0

13374532064 has 96 divisors (see below), whose sum is σ = 27720475776. Its totient is φ = 6346321920.

The previous prime is 13374532063. The next prime is 13374532091. The reversal of 13374532064 is 46023547331.

13374532064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13374532063) 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, 6696314 + ... + 6698310.

It is an arithmetic number, because the mean of its divisors is an integer number (288754956).

Almost surely, 213374532064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13374532064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860237888).

13374532064 is an abundant number, since it is smaller than the sum of its proper divisors (14345943712).

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

13374532064 is a wasteful number, since it uses less digits than its factorization.

13374532064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 13374532064 in words is "thirteen billion, three hundred seventy-four million, five hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 61 73 94 122 146 188 244 292 376 488 584 752 976 1168 1504 1952 1997 2336 2867 3431 3994 4453 5734 6862 7988 8906 11468 13724 15976 17812 22936 27448 31952 35624 45872 54896 63904 71248 91744 93859 109792 121817 142496 145781 187718 209291 243634 291562 375436 418582 487268 583124 750872 837164 974536 1166248 1501744 1674328 1949072 2332496 3003488 3348656 3898144 4664992 5725399 6697312 6851707 8892641 11450798 13703414 17785282 22901596 27406828 35570564 45803192 54813656 71141128 91606384 109627312 142282256 183212768 219254624 284564512 417954127 835908254 1671816508 3343633016 6687266032 13374532064