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423279972324 = 2233113741234869
BaseRepresentation
bin1100010100011010111…
…00111100111111100100
31111110120002221111102000
412022031130330333210
523413334133103244
6522241354445300
742403162254306
oct6121534747744
91443502844360
10423279972324
1115356a567150
126a04b733830
1330bb87053b1
14166b5d2d976
15b0255ad169
hex628d73cfe4

423279972324 has 192 divisors, whose sum is σ = 1259504467200. Its totient is φ = 121755571200.

The previous prime is 423279972293. The next prime is 423279972331.

It is a happy number.

423279972324 is a `hidden beast` number, since 42 + 3 + 279 + 9 + 7 + 2 + 324 = 666.

423279972324 is nontrivially palindromic in base 10.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684762 + ... + 1919630.

It is an arithmetic number, because the mean of its divisors is an integer number (6559919100).

Almost surely, 2423279972324 is an apocalyptic number.

423279972324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423279972324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629752233600).

423279972324 is an abundant number, since it is smaller than the sum of its proper divisors (836224494876).

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

423279972324 is a wasteful number, since it uses less digits than its factorization.

423279972324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234971 (or 234963 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 423279972324 in words is "four hundred twenty-three billion, two hundred seventy-nine million, nine hundred seventy-two thousand, three hundred twenty-four".