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682268983992 = 233230793077609
BaseRepresentation
bin10011110110110100110…
…01101000001010111000
32102020001111110110101100
421323122121220022320
542134241324441432
61241232520051400
7100202155451211
oct11733231501270
92366044413340
10682268983992
11243392066962
12b028a603b60
134c450b97bab
14250444d6408
1512b3263307c
hex9eda6682b8

682268983992 has 48 divisors (see below), whose sum is σ = 1848412566000. Its totient is φ = 227349058176.

The previous prime is 682268983961. The next prime is 682268983997. The reversal of 682268983992 is 299389862286.

682268983992 is a `hidden beast` number, since 6 + 8 + 226 + 8 + 9 + 8 + 399 + 2 = 666.

682268983992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 682268983992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682268983997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1317117 + ... + 1760492.

It is an arithmetic number, because the mean of its divisors is an integer number (38508595125).

Almost surely, 2682268983992 is an apocalyptic number.

It is an amenable number.

682268983992 is an abundant number, since it is smaller than the sum of its proper divisors (1166143582008).

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

682268983992 is a wasteful number, since it uses less digits than its factorization.

682268983992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080700 (or 3080693 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 682268983992 in words is "six hundred eighty-two billion, two hundred sixty-eight million, nine hundred eighty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3079 6158 9237 12316 18474 24632 27711 36948 55422 73896 110844 221688 3077609 6155218 9232827 12310436 18465654 24620872 27698481 36931308 55396962 73862616 110793924 221587848 9475958111 18951916222 28427874333 37903832444 56855748666 75807664888 85283622999 113711497332 170567245998 227422994664 341134491996 682268983992