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5152232106 = 232727380021
BaseRepresentation
bin1001100110001100…
…01101001010101010
3111022001211111202100
410303012031022222
541022432411411
62211130114230
7241451151600
oct46306151252
914261744670
105152232106
11220433426a
12bb957b976
1364155c768
1436c3ab870
152024c7456
hex13318d2aa

5152232106 has 72 divisors (see below), whose sum is σ = 13163779044. Its totient is φ = 1451882880.

The previous prime is 5152232089. The next prime is 5152232119. The reversal of 5152232106 is 6012322515.

It is a happy number.

5152232106 is a `hidden beast` number, since 5 + 1 + 522 + 32 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4741561881 + 410670225 = 68859^2 + 20265^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5152232106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24376 + ... + 104396.

Almost surely, 25152232106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152232106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581889522).

5152232106 is an abundant number, since it is smaller than the sum of its proper divisors (8011546938).

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

5152232106 is a wasteful number, since it uses less digits than its factorization.

5152232106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80116 (or 80106 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5152232106 is about 71779.0506067056. The cubic root of 5152232106 is about 1727.1569579997.

The spelling of 5152232106 in words is "five billion, one hundred fifty-two million, two hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 73 98 126 146 147 219 294 438 441 511 657 882 1022 1314 1533 3066 3577 4599 7154 9198 10731 21462 32193 64386 80021 160042 240063 480126 560147 720189 1120294 1440378 1680441 3360882 3921029 5041323 5841533 7842058 10082646 11683066 11763087 17524599 23526174 35049198 35289261 40890731 52573797 70578522 81781462 105147594 122672193 245344386 286235117 368016579 572470234 736033158 858705351 1717410702 2576116053 5152232106