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56115350112 = 2531498594567
BaseRepresentation
bin110100010000101111…
…000100101001100000
312100211202221010220110
4310100233010221200
51404411012200422
641440134411320
74024406414553
oct642057045140
9170752833813
1056115350112
112188671a108
12aa60b00b40
1353a39c50a3
142a049a869a
1516d66b560c
hexd10bc4a60

56115350112 has 96 divisors (see below), whose sum is σ = 148496544000. Its totient is φ = 18553886208.

The previous prime is 56115350107. The next prime is 56115350119. The reversal of 56115350112 is 21105351165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 56115350112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56115350119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12284853 + ... + 12289419.

It is an arithmetic number, because the mean of its divisors is an integer number (1546839000).

Almost surely, 256115350112 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 56115350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74248272000).

56115350112 is an abundant number, since it is smaller than the sum of its proper divisors (92381193888).

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

56115350112 is a wasteful number, since it uses less digits than its factorization.

56115350112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 56115350112 in words is "fifty-six billion, one hundred fifteen million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 859 894 1192 1718 1788 2384 2577 3436 3576 4567 4768 5154 6872 7152 9134 10308 13701 13744 14304 18268 20616 27402 27488 36536 41232 54804 73072 82464 109608 127991 146144 219216 255982 383973 438432 511964 680483 767946 1023928 1360966 1535892 2041449 2047856 2721932 3071784 3923053 4082898 4095712 5443864 6143568 7846106 8165796 10887728 11769159 12287136 15692212 16331592 21775456 23538318 31384424 32663184 47076636 62768848 65326368 94153272 125537696 188306544 376613088 584534897 1169069794 1753604691 2338139588 3507209382 4676279176 7014418764 9352558352 14028837528 18705116704 28057675056 56115350112