Search a number
-
+
420773989032 = 233312715338801
BaseRepresentation
bin1100001111110000001…
…01011000101010101000
31111020002110111100121000
412013320011120222220
523343221120122112
6521144554515000
742254112615465
oct6077005305250
91436073440530
10420773989032
111524a3a46881
1269670435a60
13308a948c747
14165191a266c
15ae2a59e7dc
hex61f8158aa8

420773989032 has 64 divisors (see below), whose sum is σ = 1178019993600. Its totient is φ = 139153593600.

The previous prime is 420773988983. The next prime is 420773989033. The reversal of 420773989032 is 230989377024.

420773989032 is a `hidden beast` number, since 420 + 77 + 39 + 8 + 90 + 32 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 420773989032.

It is not an unprimeable number, because it can be changed into a prime (420773989033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7641969 + ... + 7696832.

It is an arithmetic number, because the mean of its divisors is an integer number (18406562400).

Almost surely, 2420773989032 is an apocalyptic number.

It is an amenable number.

420773989032 is an abundant number, since it is smaller than the sum of its proper divisors (757246004568).

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

420773989032 is a wasteful number, since it uses less digits than its factorization.

420773989032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15338943 (or 15338933 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 420773989032 in words is "four hundred twenty billion, seven hundred seventy-three million, nine hundred eighty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 13716 27432 15338801 30677602 46016403 61355204 92032806 122710408 138049209 184065612 276098418 368131224 414147627 552196836 828295254 1104393672 1656590508 1948027727 3313181016 3896055454 5844083181 7792110908 11688166362 15584221816 17532249543 23376332724 35064499086 46752665448 52596748629 70128998172 105193497258 140257996344 210386994516 420773989032