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2474146980 = 2232513745261
BaseRepresentation
bin1001001101111000…
…0111110010100100
320101102112200121100
42103132013302210
520031340200410
61045301320100
7115211621334
oct22336076244
96342480540
102474146980
11105a656278
12590706030
13305779bc6
141968410c4
15e73208c0
hex93787ca4

2474146980 has 36 divisors (see below), whose sum is σ = 7504913052. Its totient is φ = 659772480.

The previous prime is 2474146973. The next prime is 2474146991. The reversal of 2474146980 is 896414742.

2474146980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1309426596 + 1164720384 = 36186^2 + 34128^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24741469802 = 12242806557286240800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6872451 + ... + 6872810.

It is an arithmetic number, because the mean of its divisors is an integer number (208469807).

Almost surely, 22474146980 is an apocalyptic number.

2474146980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2474146980 is an abundant number, since it is smaller than the sum of its proper divisors (5030766072).

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

2474146980 is a wasteful number, since it uses less digits than its factorization.

2474146980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745276 (or 13745271 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2474146980 is about 49740.7979429361. The cubic root of 2474146980 is about 1352.5141953972.

The spelling of 2474146980 in words is "two billion, four hundred seventy-four million, one hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13745261 27490522 41235783 54981044 68726305 82471566 123707349 137452610 164943132 206178915 247414698 274905220 412357830 494829396 618536745 824715660 1237073490 2474146980