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17982879440 = 2451731299341
BaseRepresentation
bin10000101111110111…
…001111011011010000
31201102020221221000212
4100233313033123100
5243312104120230
612132231303252
71204426644641
oct205767173320
951366857025
1017982879440
117698959539
12359a51ab28
131907817986
14c284516c8
15703b25895
hex42fdcf6d0

17982879440 has 40 divisors (see below), whose sum is σ = 42051904488. Its totient is φ = 7151567360.

The previous prime is 17982879427. The next prime is 17982879443. The reversal of 17982879440 is 4497828971.

It can be written as a sum of positive squares in 4 ways, for example, as 939054736 + 17043824704 = 30644^2 + 130552^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 17982879440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17982879443) 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, 635831 + ... + 663510.

Almost surely, 217982879440 is an apocalyptic number.

17982879440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17982879440 is an abundant number, since it is smaller than the sum of its proper divisors (24069025048).

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

17982879440 is a wasteful number, since it uses less digits than its factorization.

17982879440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299527 (or 1299521 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 17982879440 in words is "seventeen billion, nine hundred eighty-two million, eight hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 1299341 2598682 5197364 6496705 10394728 12993410 20789456 25986820 51973640 103947280 224785993 449571986 899143972 1123929965 1798287944 2247859930 3596575888 4495719860 8991439720 17982879440