Search a number
-
+
56700825507172 = 227211435571098037
BaseRepresentation
bin11001110010001101100001…
…00100000001010101100100
321102202112202000112022201201
430321012300210001111210
524412441242312212142
6320331555531132244
714641333212436300
oct1471066044012544
9242675660468651
1056700825507172
11170807598a1970
126438bbb8a4084
132583b32263892
1410004981c6d00
15684dba3b4ab7
hex3391b0901564

56700825507172 has 144 divisors (see below), whose sum is σ = 129079830737088. Its totient is φ = 21538722804480.

The previous prime is 56700825507107. The next prime is 56700825507217. The reversal of 56700825507172 is 27170552800765.

It is a happy number.

It is a super-2 number, since 2×567008255071722 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51089338 + ... + 52187374.

It is an arithmetic number, because the mean of its divisors is an integer number (896387713452).

Almost surely, 256700825507172 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 56700825507172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64539915368544).

56700825507172 is an abundant number, since it is smaller than the sum of its proper divisors (72379005229916).

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

56700825507172 is a wasteful number, since it uses less digits than its factorization.

56700825507172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098666 (or 1098657 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 55.

The spelling of 56700825507172 in words is "fifty-six trillion, seven hundred billion, eight hundred twenty-five million, five hundred seven thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 154 172 196 301 308 473 539 557 602 946 1078 1114 1204 1892 2107 2156 2228 3311 3899 4214 6127 6622 7798 8428 12254 13244 15596 23177 23951 24508 27293 42889 46354 47902 54586 85778 92708 95804 109172 167657 171556 263461 300223 335314 526922 600446 670628 1053844 1098037 1173599 1200892 1844227 2196074 2347198 3688454 4392148 4694396 7376908 7686259 12078407 12909589 15372518 24156814 25819178 30745036 47215591 48313628 51638356 53803813 84548849 94431182 107607626 169097698 188862364 215215252 330509137 338195396 519371501 591841943 611606609 661018274 1038743002 1183683886 1223213218 1322036548 2077486004 2313563959 2367367772 2446426436 3635600507 4281246263 4627127918 6727672699 7271201014 8562492526 9254255836 13455345398 14542402028 17124985052 25449203549 26299084187 26910690796 29968723841 47093708893 50898407098 52598168374 59937447682 94187417786 101796814196 105196336748 119874895364 184093589309 188374835572 289289926057 329655962251 368187178618 578579852114 659311924502 736374357236 1157159704228 1288655125163 1318623849004 2025029482399 2577310250326 4050058964798 5154620500652 8100117929596 14175206376793 28350412753586 56700825507172