Search a number
-
+
420057192156 = 223729316354517
BaseRepresentation
bin1100001110011010101…
…11000001011011011100
31111011020111201022010120
412013031113001123130
523340234120122111
6520545511234540
742230260135620
oct6071527013334
91434214638116
10420057192156
11152166374768
12694b0378a50
13307c3b1bb94
141648bcd5180
15add76b0406
hex61cd5c16dc

420057192156 has 96 divisors (see below), whose sum is σ = 1159166077440. Its totient is φ = 115839085824.

The previous prime is 420057192143. The next prime is 420057192161. The reversal of 420057192156 is 651291750024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7677810 + ... + 7732326.

It is an arithmetic number, because the mean of its divisors is an integer number (12074646640).

Almost surely, 2420057192156 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 420057192156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579583038720).

420057192156 is an abundant number, since it is smaller than the sum of its proper divisors (739108885284).

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

420057192156 is a wasteful number, since it uses less digits than its factorization.

420057192156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57723 (or 57721 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 420057192156 in words is "four hundred twenty billion, fifty-seven million, one hundred ninety-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 3163 6326 9489 12652 18978 22141 37956 44282 54517 66423 88564 91727 109034 132846 163551 183454 218068 265692 275181 327102 366908 381619 550362 642089 654204 763238 1100724 1144857 1284178 1526476 1580993 1926267 2289714 2568356 3161986 3852534 4579428 4742979 6323972 7705068 9485958 11066951 18971916 22133902 33200853 44267804 66401706 132803412 172437271 344874542 517311813 689749084 1034623626 1207060897 2069247252 2414121794 3621182691 4828243588 5000680859 7242365382 10001361718 14484730764 15002042577 20002723436 30004085154 35004766013 60008170308 70009532026 105014298039 140019064052 210028596078 420057192156