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13105440554553 = 32193710391993601
BaseRepresentation
bin1011111010110101100100…
…1000001111111000111001
31201101212102200111200022200
42332231121020033320321
53204204420240221203
643512320053340413
72521560014464104
oct276553110177071
951355380450280
1013105440554553
1141a2a93597a76
121577b09637709
13740ab76970b9
1433444186773b
1517ad8134c9a3
hexbeb5920fe39

13105440554553 has 48 divisors (see below), whose sum is σ = 20484659270400. Its totient is φ = 8045659238400.

The previous prime is 13105440554537. The next prime is 13105440554587. The reversal of 13105440554553 is 35545504450131.

It is a happy number.

13105440554553 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 4 + 40 + 5 + 54 + 553 = 666.

It is not a de Polignac number, because 13105440554553 - 24 = 13105440554537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13105440554499 and 13105440554508.

It is not an unprimeable number, because it can be changed into a prime (13105440552553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5576953 + ... + 7570553.

It is an arithmetic number, because the mean of its divisors is an integer number (426763734800).

Almost surely, 213105440554553 is an apocalyptic number.

It is an amenable number.

13105440554553 is a deficient number, since it is larger than the sum of its proper divisors (7379218715847).

13105440554553 is a wasteful number, since it uses less digits than its factorization.

13105440554553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994702 (or 1994699 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 13105440554553 in words is "thirteen trillion, one hundred five billion, four hundred forty million, five hundred fifty-four thousand, five hundred fifty-three".

Divisors: 1 3 9 19 37 57 111 171 333 703 1039 2109 3117 6327 9351 19741 38443 59223 115329 177669 345987 730417 1993601 2191251 5980803 6573753 17942409 37878419 73763237 113635257 221289711 340905771 663869133 1401501503 2071351439 4204504509 6214054317 12613513527 18642162951 39355677341 76640003243 118067032023 229920009729 354201096069 689760029187 1456160061617 4368480184851 13105440554553