Search a number
-
+
421120186816 = 26722731713063
BaseRepresentation
bin1100010000011001011…
…10000001100111000000
31111020222120221000200011
412020030232001213000
523344423231434231
6521243203034304
742265515345460
oct6101456014700
91436876830604
10421120186816
1115266140434a
126974836b994
13309331140c4
141654d15dba0
15ae4ab869b1
hex620cb819c0

421120186816 has 112 divisors (see below), whose sum is σ = 962347332096. Its totient is φ = 179104472064.

The previous prime is 421120186807. The next prime is 421120186819. The reversal of 421120186816 is 618681021124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421120186819) 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, 32231101 + ... + 32244163.

Almost surely, 2421120186816 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 421120186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481173666048).

421120186816 is an abundant number, since it is smaller than the sum of its proper divisors (541227145280).

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

421120186816 is a wasteful number, since it uses less digits than its factorization.

421120186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13626 (or 13616 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 421120186816 in words is "four hundred twenty-one billion, one hundred twenty million, one hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 227 317 448 454 634 908 1268 1589 1816 2219 2536 3178 3632 4438 5072 6356 7264 8876 10144 12712 13063 14528 17752 20288 25424 26126 35504 50848 52252 71008 71959 91441 101696 104504 142016 143918 182882 209008 287836 365764 418016 503713 575672 731528 836032 1007426 1151344 1463056 2014852 2302688 2926112 2965301 4029704 4140971 4605376 5852224 5930602 8059408 8281942 11861204 16118816 16563884 20757107 23722408 28986797 32237632 33127768 41514214 47444816 57973594 66255536 83028428 94889632 115947188 132511072 166056856 189779264 231894376 265022144 332113712 463788752 664227424 927577504 940000417 1328454848 1855155008 1880000834 3760001668 6580002919 7520003336 13160005838 15040006672 26320011676 30080013344 52640023352 60160026688 105280046704 210560093408 421120186816