Search a number
-
+
420356576688 = 24319460917299
BaseRepresentation
bin1100001110111110011…
…01000101010110110000
31111012000101001121111120
412013133031011112300
523341342240423223
6521035324142240
742240553643046
oct6073715052660
91435011047446
10420356576688
111522aa3687a4
1269574697980
1330840b627a9
14164b9988396
15ae03aebbe3
hex61df3455b0

420356576688 has 40 divisors (see below), whose sum is σ = 1143074904000. Its totient is φ = 132744181824.

The previous prime is 420356576687. The next prime is 420356576693. The reversal of 420356576688 is 886675653024.

It is not an unprimeable number, because it can be changed into a prime (420356576687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230457738 + ... + 230459561.

It is an arithmetic number, because the mean of its divisors is an integer number (28576872600).

Almost surely, 2420356576688 is an apocalyptic number.

420356576688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420356576688 is an abundant number, since it is smaller than the sum of its proper divisors (722718327312).

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

420356576688 is a wasteful number, since it uses less digits than its factorization.

420356576688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460917329 (or 460917323 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 420356576688 in words is "four hundred twenty billion, three hundred fifty-six million, five hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 460917299 921834598 1382751897 1843669196 2765503794 3687338392 5531007588 7374676784 8757428681 11062015176 17514857362 22124030352 26272286043 35029714724 52544572086 70059429448 105089144172 140118858896 210178288344 420356576688