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423897214680 = 233351943736581
BaseRepresentation
bin1100010101100100011…
…11100010111011011000
31111112011010101122202000
412022302033202323120
523421120141332210
6522422524241000
742424365605562
oct6126217427330
91445133348660
10423897214680
11153856a214a5
126a1a23a0160
1330c8655a164
1416733cc4332
15b05e884ac0
hex62b23e2ed8

423897214680 has 512 divisors, whose sum is σ = 1543031424000. Its totient is φ = 103150817280.

The previous prime is 423897214673. The next prime is 423897214681. The reversal of 423897214680 is 86412798324.

423897214680 is a `hidden beast` number, since 42 + 38 + 97 + 21 + 468 + 0 = 666.

It is a super-4 number, since 4×4238972146804 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423897214681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64408990 + ... + 64415570.

It is an arithmetic number, because the mean of its divisors is an integer number (3013733250).

Almost surely, 2423897214680 is an apocalyptic number.

423897214680 is a gapful number since it is divisible by the number (40) 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 423897214680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771515712000).

423897214680 is an abundant number, since it is smaller than the sum of its proper divisors (1119134209320).

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

423897214680 is a wasteful number, since it uses less digits than its factorization.

423897214680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 423897214680 in words is "four hundred twenty-three billion, eight hundred ninety-seven million, two hundred fourteen thousand, six hundred eighty".