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815158950216 = 233136319294457
BaseRepresentation
bin10111101110010110100…
…00100111100101001000
32212221001211101012101020
423313023100213211020
5101323421142401331
61422251233152440
7112615253516112
oct13671320474510
92787054335336
10815158950216
11294785a81426
12111b970bb720
135bb3b7093c0
142b64d7243b2
151630e052c96
hexbdcb427948

815158950216 has 128 divisors (see below), whose sum is σ = 2200996627200. Its totient is φ = 250094960640.

The previous prime is 815158950191. The next prime is 815158950241. The reversal of 815158950216 is 612059851518.

815158950216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (815158950191) and next prime (815158950241).

It is a super-2 number, since 2×8151589502162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182891860 + ... + 182896316.

It is an arithmetic number, because the mean of its divisors is an integer number (17195286150).

Almost surely, 2815158950216 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 815158950216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100498313600).

815158950216 is an abundant number, since it is smaller than the sum of its proper divisors (1385837676984).

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

815158950216 is a wasteful number, since it uses less digits than its factorization.

815158950216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 51.

The spelling of 815158950216 in words is "eight hundred fifteen billion, one hundred fifty-eight million, nine hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 631 929 1262 1858 1893 2524 2787 3716 3786 4457 5048 5574 7432 7572 8203 8914 11148 12077 13371 15144 16406 17828 22296 24154 24609 26742 32812 35656 36231 48308 49218 53484 57941 65624 72462 96616 98436 106968 115882 144924 173823 196872 231764 289848 347646 463528 586199 695292 1172398 1390584 1758597 2344796 2812367 3517194 4140553 4689592 5624734 7034388 7620587 8281106 8437101 11249468 12421659 14068776 15241174 16562212 16874202 22498936 22861761 24843318 30482348 33124424 33748404 36560771 45723522 49686636 53827189 60964696 67496808 73121542 91447044 99373272 107654378 109682313 146243084 161481567 182894088 215308756 219364626 292486168 322963134 430617512 438729252 645926268 877458504 1291852536 2612688943 5225377886 7838066829 10450755772 15676133658 20901511544 31352267316 33964956259 62704534632 67929912518 101894868777 135859825036 203789737554 271719650072 407579475108 815158950216