Search a number
-
+
5525181396 = 22367238669
BaseRepresentation
bin1010010010101001…
…11001001111010100
3112021001121022000000
411021110321033110
542303421301041
62312131451300
7253630160400
oct51124711724
915231538000
105525181396
112385903619
1210a2456b30
136a08bc607
143a5b30100
152250e5bb6
hex1495393d4

5525181396 has 126 divisors (see below), whose sum is σ = 16864257690. Its totient is φ = 1578582432.

The previous prime is 5525181379. The next prime is 5525181427. The reversal of 5525181396 is 6931815255.

5525181396 is a `hidden beast` number, since 5 + 5 + 251 + 8 + 1 + 396 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3796284996 + 1728896400 = 61614^2 + 41580^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 123550 + ... + 162218.

It is an arithmetic number, because the mean of its divisors is an integer number (133843315).

Almost surely, 25525181396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5525181396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432128845).

5525181396 is an abundant number, since it is smaller than the sum of its proper divisors (11339076294).

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

5525181396 is a wasteful number, since it uses less digits than its factorization.

5525181396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38705 (or 38681 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 5525181396 is about 74331.5639281187. The cubic root of 5525181396 is about 1767.8639788921.

The spelling of 5525181396 in words is "five billion, five hundred twenty-five million, one hundred eighty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 729 756 882 972 1134 1323 1458 1701 1764 2268 2646 2916 3402 3969 5103 5292 6804 7938 10206 11907 15876 20412 23814 35721 38669 47628 71442 77338 116007 142884 154676 232014 270683 348021 464028 541366 696042 812049 1044063 1082732 1392084 1624098 1894781 2088126 2436147 3132189 3248196 3789562 4176252 4872294 5684343 6264378 7308441 7579124 9396567 9744588 11368686 12528756 14616882 17053029 18793134 21925323 22737372 28189701 29233764 34106058 37586268 43850646 51159087 56379402 65775969 68212116 87701292 102318174 112758804 131551938 153477261 197327907 204636348 263103876 306954522 394655814 460431783 613909044 789311628 920863566 1381295349 1841727132 2762590698 5525181396