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5222161296 = 24321131106349
BaseRepresentation
bin1001101110100001…
…11101101110010000
3111110221102021120100
410313100331232100
541143333130141
62222105012400
7243260432022
oct46720755620
914427367510
105222161296
11223a857090
121018a84100
13652ba4c91
143777b2012
152086dc0b6
hex13743db90

5222161296 has 120 divisors (see below), whose sum is σ = 16457875200. Its totient is φ = 1531411200.

The previous prime is 5222161289. The next prime is 5222161363. The reversal of 5222161296 is 6921612225.

5222161296 is a `hidden beast` number, since 522 + 2 + 1 + 6 + 129 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5222161296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4071 + ... + 102278.

It is an arithmetic number, because the mean of its divisors is an integer number (137148960).

Almost surely, 25222161296 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 5222161296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228937600).

5222161296 is an abundant number, since it is smaller than the sum of its proper divisors (11235713904).

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

5222161296 is a wasteful number, since it uses less digits than its factorization.

5222161296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106405 (or 106396 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5222161296 is about 72264.5230801394. The cubic root of 5222161296 is about 1734.9358740733.

The spelling of 5222161296 in words is "five billion, two hundred twenty-two million, one hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 49104 106349 212698 319047 425396 638094 850792 957141 1169839 1276188 1701584 1914282 2339678 2552376 3296819 3509517 3828564 4679356 5104752 6593638 7019034 7657128 9358712 9890457 10528551 13187276 14038068 15314256 18717424 19780914 21057102 26374552 28076136 29671371 36265009 39561828 42114204 52749104 56152272 59342742 72530018 79123656 84228408 108795027 118685484 145060036 158247312 168456816 217590054 237370968 290120072 326385081 435180108 474741936 580240144 652770162 870360216 1305540324 1740720432 2611080648 5222161296