Search a number
-
+
1289520785364 = 223779194321999
BaseRepresentation
bin10010110000111101011…
…011011010011111010100
311120021110220212012012120
4102300331123122133110
5132111414310112424
62424221521415540
7162110345552250
oct22607533323724
94507426765176
101289520785364
11457978958129
12189b01a9a5b0
13947a8051916
14465ad921260
1523823e57a79
hex12c3d6da7d4

1289520785364 has 48 divisors (see below), whose sum is σ = 3482250240000. Its totient is φ = 363770780256.

The previous prime is 1289520785353. The next prime is 1289520785381. The reversal of 1289520785364 is 4635870259821.

It is a super-2 number, since 2×12895207853642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1289520785298 and 1289520785307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97154364 + ... + 97167635.

It is an arithmetic number, because the mean of its divisors is an integer number (72546880000).

It is a 1-persistent number, because it is pandigital, but 2⋅1289520785364 = 2579041570728 is not.

Almost surely, 21289520785364 is an apocalyptic number.

1289520785364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1289520785364 is an abundant number, since it is smaller than the sum of its proper divisors (2192729454636).

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

1289520785364 is a wasteful number, since it uses less digits than its factorization.

1289520785364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194322092 (or 194322090 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 1289520785364 in words is "one trillion, two hundred eighty-nine billion, five hundred twenty million, seven hundred eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 194321999 388643998 582965997 777287996 1165931994 1360253993 2331863988 2720507986 4080761979 5441015972 8161523958 15351437921 16323047916 30702875842 46054313763 61405751684 92108627526 107460065447 184217255052 214920130894 322380196341 429840261788 644760392682 1289520785364