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13832415080 = 2351122857937
BaseRepresentation
bin11001110000111100…
…11110011101101000
31022201000010111021122
430320132132131220
5211312044240310
610204324354412
7666531405521
oct147036363550
938630114248
1013832415080
115959046200
122820545a08
1313c5993bc3
14953131848
1555e57d555
hex33879e768

13832415080 has 48 divisors (see below), whose sum is σ = 34209517860. Its totient is φ = 5029967360.

The previous prime is 13832415043. The next prime is 13832415127. The reversal of 13832415080 is 8051423831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13122618916 + 709796164 = 114554^2 + 26642^2 .

It is a super-2 number, since 2×138324150802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13832415080.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1424129 + ... + 1433808.

Almost surely, 213832415080 is an apocalyptic number.

13832415080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13832415080 is an abundant number, since it is smaller than the sum of its proper divisors (20377102780).

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

13832415080 is a wasteful number, since it uses less digits than its factorization.

13832415080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857970 (or 2857955 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 13832415080 in words is "thirteen billion, eight hundred thirty-two million, four hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2857937 5715874 11431748 14289685 22863496 28579370 31437307 57158740 62874614 114317480 125749228 157186535 251498456 314373070 345810377 628746140 691620754 1257492280 1383241508 1729051885 2766483016 3458103770 6916207540 13832415080