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5022813936 = 2437313713033
BaseRepresentation
bin1001010110110001…
…00000111011110000
3110222001022101101210
410223120200323300
540241320021221
62150224200120
7235320133260
oct45330407360
913861271353
105022813936
11214827a4a8
12b82169040
136207b8a6a
1435911d7a0
151e5e61276
hex12b620ef0

5022813936 has 160 divisors (see below), whose sum is σ = 15722549248. Its totient is φ = 1351157760.

The previous prime is 5022813923. The next prime is 5022813947. The reversal of 5022813936 is 6393182205.

It is a junction number, because it is equal to n+sod(n) for n = 5022813894 and 5022813903.

It is a congruent number.

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, 378876 + ... + 391908.

Almost surely, 25022813936 is an apocalyptic number.

5022813936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5022813936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861274624).

5022813936 is an abundant number, since it is smaller than the sum of its proper divisors (10699735312).

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

5022813936 is a wasteful number, since it uses less digits than its factorization.

5022813936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119 (or 13113 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 5022813936 is about 70871.8134098458. The cubic root of 5022813936 is about 1712.5727532343.

The spelling of 5022813936 in words is "five billion, twenty-two million, eight hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 296 336 372 434 444 496 518 592 651 744 777 868 888 1036 1147 1302 1488 1554 1736 1776 2072 2294 2604 3108 3441 3472 4144 4588 5208 6216 6882 8029 9176 10416 12432 13033 13764 16058 18352 24087 26066 27528 32116 39099 48174 52132 55056 64232 78198 91231 96348 104264 128464 156396 182462 192696 208528 273693 312792 364924 385392 404023 482221 547386 625584 729848 808046 964442 1094772 1212069 1446663 1459696 1616092 1928884 2189544 2424138 2828161 2893326 3232184 3375547 3857768 4379088 4848276 5656322 5786652 6464368 6751094 7715536 8484483 9696552 10126641 11312644 11573304 13502188 14948851 16968966 19393104 20253282 22625288 23146608 27004376 29897702 33937932 40506564 44846553 45250576 54008752 59795404 67875864 81013128 89693106 104641957 119590808 135751728 162026256 179386212 209283914 239181616 313925871 358772424 418567828 627851742 717544848 837135656 1255703484 1674271312 2511406968 5022813936