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27430367440 = 245748982799
BaseRepresentation
bin11001100010111110…
…100011000011010000
32121210200002001011211
4121202332203003100
5422134133224230
620333515545504
71660515163510
oct314276430320
977720061154
1027430367440
11106a6800063
12539645b294
132781bc5468
14148306d840
15aa824642a
hex662fa30d0

27430367440 has 40 divisors (see below), whose sum is σ = 72886406400. Its totient is φ = 9404697216.

The previous prime is 27430367429. The next prime is 27430367443. The reversal of 27430367440 is 4476303472.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27430367393 and 27430367402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27430367443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24490840 + ... + 24491959.

It is an arithmetic number, because the mean of its divisors is an integer number (1822160160).

Almost surely, 227430367440 is an apocalyptic number.

27430367440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27430367440 is an abundant number, since it is smaller than the sum of its proper divisors (45456038960).

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

27430367440 is a wasteful number, since it uses less digits than its factorization.

27430367440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48982819 (or 48982813 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 27430367440 in words is "twenty-seven billion, four hundred thirty million, three hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 48982799 97965598 195931196 244913995 342879593 391862392 489827990 685759186 783724784 979655980 1371518372 1714397965 1959311960 2743036744 3428795930 3918623920 5486073488 6857591860 13715183720 27430367440