Search a number
-
+
56304344461660 = 225472572003116359
BaseRepresentation
bin11001100110101011000000…
…11100110111000101011100
321101100122100120111100210121
430303111200130313011130
524334442244140233120
6315425505254244324
714600566100240641
oct1463254034670534
9241318316440717
1056304344461660
1116a385a1663119
1263941ab0566a4
13255562799a439
14dc9205517dc8
156799128be5aa
hex33356073715c

56304344461660 has 96 divisors (see below), whose sum is σ = 121286276536320. Its totient is φ = 21945632636928.

The previous prime is 56304344461619. The next prime is 56304344461663. The reversal of 56304344461660 is 6616444340365.

56304344461660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56304344461598 and 56304344461607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56304344461663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 483826561 + ... + 483942919.

It is an arithmetic number, because the mean of its divisors is an integer number (1263398713920).

Almost surely, 256304344461660 is an apocalyptic number.

It is an amenable number.

56304344461660 is an abundant number, since it is smaller than the sum of its proper divisors (64981932074660).

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

56304344461660 is a wasteful number, since it uses less digits than its factorization.

56304344461660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118675 (or 118673 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 52.

The spelling of 56304344461660 in words is "fifty-six trillion, three hundred four billion, three hundred forty-four million, four hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 47 94 188 235 257 470 514 940 1028 1285 2003 2570 4006 5140 8012 10015 12079 20030 24158 40060 48316 60395 94141 116359 120790 188282 232718 241580 376564 465436 470705 514771 581795 941410 1029542 1163590 1882820 2059084 2327180 2573855 5147710 5468873 10295420 10937746 21875492 24194237 27344365 29904263 48388474 54688730 59808526 96776948 109377460 119617052 120971185 149521315 233067077 241942370 299042630 466134154 483884740 598085260 932268308 1165335385 1405500361 2330670770 2811000722 4661341540 5622001444 7027501805 10954152619 14055003610 21908305238 28110007220 43816610476 54770763095 59898238789 109541526190 119796477578 219083052380 239592955156 299491193945 598982387890 1197964775780 2815217223083 5630434446166 11260868892332 14076086115415 28152172230830 56304344461660