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5085986356 = 221117311371601
BaseRepresentation
bin1001011110010010…
…11111111000110100
3111010110011212200001
410233021133320310
540404003030411
62200402201044
7240015112363
oct45711377064
914113155601
105085986356
11217a9a7910
12b9b353184
136309069a9
143636857da
151eb78ddc1
hex12f25fe34

5085986356 has 96 divisors (see below), whose sum is σ = 10696541184. Its totient is φ = 2088960000.

The previous prime is 5085986351. The next prime is 5085986363. The reversal of 5085986356 is 6536895805.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5085986297 and 5085986306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085986351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3175956 + ... + 3177556.

It is an arithmetic number, because the mean of its divisors is an integer number (111422304).

Almost surely, 25085986356 is an apocalyptic number.

It is an amenable number.

5085986356 is an abundant number, since it is smaller than the sum of its proper divisors (5610554828).

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

5085986356 is a wasteful number, since it uses less digits than its factorization.

5085986356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 55.

The square root of 5085986356 is about 71316.1016601440. The cubic root of 5085986356 is about 1719.7225931738.

The spelling of 5085986356 in words is "five billion, eighty-five million, nine hundred eighty-six thousand, three hundred fifty-six".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 124 137 187 274 341 374 527 548 682 748 1054 1364 1507 1601 2108 2329 3014 3202 4247 4658 5797 6028 6404 8494 9316 11594 16988 17611 23188 25619 27217 35222 46717 49631 51238 54434 70444 72199 93434 99262 102476 108868 144398 186868 198524 219337 288796 299387 438674 545941 598774 794189 843727 877348 1091882 1197548 1588378 1687454 2183764 2412707 3176756 3374908 3728729 4825414 6799447 7457458 9280997 9650828 13598894 14914916 18561994 27197788 37123988 41016019 74793917 82032038 115590599 149587834 164064076 231181198 299175668 462362396 1271496589 2542993178 5085986356