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1974026016 = 253241167177
BaseRepresentation
bin111010110101001…
…0011111100100000
312002120110220121200
41311222103330200
513020322313031
6523514121200
766626641614
oct16552237440
95076426550
101974026016
11923316a66
12471120200
13255c81a41
1414a257344
15b84818e6
hex75a93f20

1974026016 has 72 divisors (see below), whose sum is σ = 5750588844. Its totient is φ = 641955840.

The previous prime is 1974026011. The next prime is 1974026023. The reversal of 1974026016 is 6106204791.

1974026016 is a `hidden beast` number, since 1 + 9 + 7 + 40 + 2 + 601 + 6 = 666.

1974026016 is digitally balanced in base 4, because in such base 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 1584358416 + 389667600 = 39804^2 + 19740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1974026011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71781 + ... + 95396.

Almost surely, 21974026016 is an apocalyptic number.

1974026016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1974026016 is an abundant number, since it is smaller than the sum of its proper divisors (3776562828).

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

1974026016 is a wasteful number, since it uses less digits than its factorization.

1974026016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167234 (or 167223 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1974026016 is about 44430.0125590799. The cubic root of 1974026016 is about 1254.4430719909.

The spelling of 1974026016 in words is "one billion, nine hundred seventy-four million, twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 167177 334354 501531 668708 1003062 1337416 1504593 2006124 2674832 3009186 4012248 5349664 6018372 6854257 8024496 12036744 13708514 16048992 20562771 24073488 27417028 41125542 48146976 54834056 61688313 82251084 109668112 123376626 164502168 219336224 246753252 329004336 493506504 658008672 987013008 1974026016