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1306111624056 = 2332291394500233
BaseRepresentation
bin10011000000011010010…
…100011100001101111000
311121212022011110010022200
4103000122110130031320
5132344404033432211
62440004104550200
7163235443424331
oct23003224341570
94555264403280
101306111624056
11463a11a63868
12191172182360
1396220346835
1447305133288
1523e9575bb56
hex1301a51c378

1306111624056 has 96 divisors (see below), whose sum is σ = 3685691646000. Its totient is φ = 417333514752.

The previous prime is 1306111624049. The next prime is 1306111624099. The reversal of 1306111624056 is 6504261116031.

1306111624056 is a `hidden beast` number, since 1 + 3 + 0 + 611 + 16 + 24 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×13061116240562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1306111624056.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1959885 + ... + 2540348.

Almost surely, 21306111624056 is an apocalyptic number.

It is an amenable number.

1306111624056 is an abundant number, since it is smaller than the sum of its proper divisors (2379580021944).

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

1306111624056 is a wasteful number, since it uses less digits than its factorization.

1306111624056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500413 (or 4500406 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1306111624056 in words is "one trillion, three hundred six billion, one hundred eleven million, six hundred twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 139 174 232 261 278 348 417 522 556 696 834 1044 1112 1251 1668 2088 2502 3336 4031 5004 8062 10008 12093 16124 24186 32248 36279 48372 72558 96744 145116 290232 4500233 9000466 13500699 18000932 27001398 36001864 40502097 54002796 81004194 108005592 130506757 162008388 261013514 324016776 391520271 522027028 625532387 783040542 1044054056 1174560813 1251064774 1566081084 1876597161 2349121626 2502129548 3132162168 3753194322 4698243252 5004259096 5629791483 7506388644 9396486504 11259582966 15012777288 18140439223 22519165932 36280878446 45038331864 54421317669 72561756892 108842635338 145123513784 163263953007 217685270676 326527906014 435370541352 653055812028 1306111624056