Search a number
-
+
45619315380 = 223251714908273
BaseRepresentation
bin101010011111000111…
…111000001010110100
311100202021210100001100
4222133013320022310
51221412021043010
632542432130100
73203326532322
oct523707701264
9140667710040
1045619315380
111838aa06941
128a11996930
1343c0310652
1422caa02d12
1512beec42c0
hexa9f1f82b4

45619315380 has 72 divisors (see below), whose sum is σ = 146518516872. Its totient is φ = 11449552896.

The previous prime is 45619315367. The next prime is 45619315393. The reversal of 45619315380 is 8351391654.

45619315380 is a `hidden beast` number, since 4 + 561 + 9 + 3 + 1 + 5 + 3 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (45619315367) and next prime (45619315393).

It can be written as a sum of positive squares in 4 ways, for example, as 5020289316 + 40599026064 = 70854^2 + 201492^2 .

It is a super-2 number, since 2×456193153802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7451077 + ... + 7457196.

It is an arithmetic number, because the mean of its divisors is an integer number (2034979401).

Almost surely, 245619315380 is an apocalyptic number.

It is an amenable number.

45619315380 is an abundant number, since it is smaller than the sum of its proper divisors (100899201492).

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

45619315380 is a wasteful number, since it uses less digits than its factorization.

45619315380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908305 (or 14908300 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45619315380 in words is "forty-five billion, six hundred nineteen million, three hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 14908273 29816546 44724819 59633092 74541365 89449638 134174457 149082730 178899276 223624095 253440641 268348914 298165460 447248190 506881282 536697828 670872285 760321923 894496380 1013762564 1267203205 1341744570 1520643846 2280965769 2534406410 2683489140 3041287692 3801609615 4561931538 5068812820 7603219230 9123863076 11404828845 15206438460 22809657690 45619315380