Search a number
-
+
74078782632 = 2334312136629
BaseRepresentation
bin100010011111101110…
…0001000010010101000
321002012200022001210000
41010333130020102220
52203203132021012
654010433223000
75231512156131
oct1047734102250
9232180261700
1074078782632
11294645a5908
1212434a01a60
136ca74912ba
14382a5d6c88
151dd8748ddc
hex113f7084a8

74078782632 has 80 divisors (see below), whose sum is σ = 207561330900. Its totient is φ = 24684341760.

The previous prime is 74078782607. The next prime is 74078782669. The reversal of 74078782632 is 23628787047.

It can be written as a sum of positive squares in 2 ways, for example, as 73221112836 + 857669796 = 270594^2 + 29286^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2004094 + ... + 2040722.

Almost surely, 274078782632 is an apocalyptic number.

74078782632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74078782632 is an abundant number, since it is smaller than the sum of its proper divisors (133482548268).

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

74078782632 is a wasteful number, since it uses less digits than its factorization.

74078782632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39768 (or 39755 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 74078782632 in words is "seventy-four billion, seventy-eight million, seven hundred eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3121 6242 9363 12484 18726 24968 28089 36629 37452 56178 73258 74904 84267 109887 112356 146516 168534 219774 224712 252801 293032 329661 337068 439548 505602 659322 674136 879096 988983 1011204 1318644 1977966 2022408 2637288 2966949 3955932 5933898 7911864 11867796 23735592 114319109 228638218 342957327 457276436 685914654 914552872 1028871981 1371829308 2057743962 2743658616 3086615943 4115487924 6173231886 8230975848 9259847829 12346463772 18519695658 24692927544 37039391316 74078782632