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5153221332 = 2232783433569
BaseRepresentation
bin1001100110010011…
…11110101011010100
3111022010200202201100
410303021332223110
541023211040312
62211203230100
7241462441620
oct46311765324
914263622640
105153221332
11220494a506
12bb9978330
13641817abc
1436c588180
152026205dc
hex13327ead4

5153221332 has 144 divisors (see below), whose sum is σ = 15127781760. Its totient is φ = 1448699904.

The previous prime is 5153221319. The next prime is 5153221349. The reversal of 5153221332 is 2331223515.

It is a happy number.

5153221332 is a `hidden beast` number, since 5 + 1 + 5 + 322 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5153221296 and 5153221305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9056344 + ... + 9056912.

It is an arithmetic number, because the mean of its divisors is an integer number (105054040).

Almost surely, 25153221332 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 5153221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563890880).

5153221332 is an abundant number, since it is smaller than the sum of its proper divisors (9974560428).

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

5153221332 is a wasteful number, since it uses less digits than its factorization.

5153221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1097 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 5153221332 is about 71785.9410469766. The cubic root of 5153221332 is about 1727.2674886849.

Adding to 5153221332 its reverse (2331223515), we get a palindrome (7484444847).

The spelling of 5153221332 in words is "five billion, one hundred fifty-three million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 433 498 569 581 747 866 996 1138 1162 1299 1494 1707 1732 1743 2276 2324 2598 2988 3031 3414 3486 3897 3983 5121 5196 5229 6062 6828 6972 7794 7966 9093 10242 10458 11949 12124 15588 15932 18186 20484 20916 23898 27279 35847 35939 36372 47227 47796 54558 71694 71878 94454 107817 109116 141681 143388 143756 188908 215634 246377 251573 283362 323451 330589 425043 431268 492754 503146 566724 646902 661178 739131 754719 850086 985508 991767 1006292 1293804 1322356 1478262 1509438 1700172 1724639 1983534 2217393 2264157 2956524 2975301 3018876 3449278 3967068 4434786 4528314 5173917 5950602 6898556 8869572 9056628 10347834 11901204 15521751 20449291 20695668 31043502 40898582 61347873 62087004 81797164 122695746 143145037 184043619 245391492 286290074 368087238 429435111 572580148 736174476 858870222 1288305333 1717740444 2576610666 5153221332