Search a number
-
+
56506601712 = 24311337541587
BaseRepresentation
bin110100101000000011…
…100101000011110000
312101212001010210012110
4310220003211003300
51411211142223322
641543032325320
74040200122021
oct645003450360
9171761123173
1056506601712
1121a6755a240
12ab4bb43840
135436a92702
142a40932c48
15170abebc0c
hexd280e50f0

56506601712 has 160 divisors (see below), whose sum is σ = 160286241024. Its totient is φ = 17011814400.

The previous prime is 56506601621. The next prime is 56506601717. The reversal of 56506601712 is 21710660565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56506601717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96263083 + ... + 96263669.

Almost surely, 256506601712 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 56506601712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80143120512).

56506601712 is an abundant number, since it is smaller than the sum of its proper divisors (103779639312).

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

56506601712 is a wasteful number, since it uses less digits than its factorization.

56506601712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 56506601712 in words is "fifty-six billion, five hundred six million, six hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 337 528 541 587 674 1011 1082 1174 1348 1623 1761 2022 2164 2348 2696 3246 3522 3707 4044 4328 4696 5392 5951 6457 6492 7044 7414 8088 8656 9392 11121 11902 12914 12984 14088 14828 16176 17853 19371 22242 23804 25828 25968 28176 29656 35706 38742 44484 47608 51656 59312 71412 77484 88968 95216 103312 142824 154968 177936 182317 197819 285648 309936 317567 364634 395638 546951 593457 635134 729268 791276 952701 1093902 1186914 1270268 1458536 1582552 1905402 2005487 2176009 2187804 2373828 2540536 2917072 3165104 3493237 3810804 4010974 4352018 4375608 4747656 5081072 6016461 6528027 6986474 7621608 8021948 8704036 8751216 9495312 10479711 12032922 13056054 13972948 15243216 16043896 17408072 20959422 24065844 26112108 27945896 32087792 34816144 41918844 48131688 52224216 55891792 83837688 96263376 104448432 107020079 167675376 214040158 321060237 428080316 642120474 856160632 1177220869 1284240948 1712321264 2354441738 2568481896 3531662607 4708883476 5136963792 7063325214 9417766952 14126650428 18835533904 28253300856 56506601712