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423021697248 = 25316192721727
BaseRepresentation
bin1100010011111100000…
…11101101100011100000
31111102220002221202121110
412021332003231203200
523412322023302443
6522200011023320
742363605045613
oct6117603554340
91442802852543
10423021697248
111534477a1277
1269b9913ab40
1330b770562c7
141668d8dc17a
15b00ca92233
hex627e0ed8e0

423021697248 has 48 divisors (see below), whose sum is σ = 1111118238720. Its totient is φ = 140920085376.

The previous prime is 423021697243. The next prime is 423021697309. The reversal of 423021697248 is 842796120324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 423021697197 and 423021697206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423021697243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205440 + ... + 1516287.

It is an arithmetic number, because the mean of its divisors is an integer number (23148296640).

Almost surely, 2423021697248 is an apocalyptic number.

423021697248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

423021697248 is an abundant number, since it is smaller than the sum of its proper divisors (688096541472).

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

423021697248 is a wasteful number, since it uses less digits than its factorization.

423021697248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723359 (or 2723351 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 423021697248 in words is "four hundred twenty-three billion, twenty-one million, six hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1619 3238 4857 6476 9714 12952 19428 25904 38856 51808 77712 155424 2721727 5443454 8165181 10886908 16330362 21773816 32660724 43547632 65321448 87095264 130642896 261285792 4406476013 8812952026 13219428039 17625904052 26438856078 35251808104 52877712156 70503616208 105755424312 141007232416 211510848624 423021697248