Search a number
-
+
13655394291056 = 247222303780953
BaseRepresentation
bin1100011010110110010011…
…1011010000110101110000
31210100102221220111010121012
43012231210323100311300
53242212221414303211
645013111310450052
72606366254223300
oct306554473206560
953312856433535
1013655394291056
11439524709a021
12164660bb03928
1378090cb0712b
14352cd31b7600
1518a31c737d8b
hexc6b64ed0d70

13655394291056 has 60 divisors (see below), whose sum is σ = 30778309294272. Its totient is φ = 5852041945344.

The previous prime is 13655394291013. The next prime is 13655394291067. The reversal of 13655394291056 is 65019249355631.

13655394291056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13655394290986 and 13655394291004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17095076 + ... + 17876028.

Almost surely, 213655394291056 is an apocalyptic number.

13655394291056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13655394291056 is an abundant number, since it is smaller than the sum of its proper divisors (17122915003216).

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

13655394291056 is a wasteful number, since it uses less digits than its factorization.

13655394291056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803278 (or 803265 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 59.

The spelling of 13655394291056 in words is "thirteen trillion, six hundred fifty-five billion, three hundred ninety-four million, two hundred ninety-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 22303 44606 89212 156121 178424 312242 356848 624484 780953 1092847 1248968 1561906 2185694 2497936 3123812 4371388 5466671 6247624 8742776 10933342 12495248 17485552 21866684 38266697 43733368 76533394 87466736 153066788 306133576 612267152 17417594759 34835189518 69670379036 121923163313 139340758072 243846326626 278681516144 487692653252 853462143191 975385306504 1706924286382 1950770613008 3413848572764 6827697145528 13655394291056