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5546096136 = 2333714992447
BaseRepresentation
bin1010010101001001…
…01011011000001000
3112022111221212122000
411022210223120020
542324300034021
62314200031000
7254303016330
oct51244533010
915274855560
105546096136
112396699129
1210a9462460
136a50331b9
143a88160c0
15226d77b26
hex14a92b608

5546096136 has 128 divisors (see below), whose sum is σ = 17625600000. Its totient is φ = 1582894656.

The previous prime is 5546096131. The next prime is 5546096177. The reversal of 5546096136 is 6316906455.

5546096136 is a `hidden beast` number, since 5 + 5 + 4 + 609 + 6 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5546096091 and 5546096100.

It is not an unprimeable number, because it can be changed into a prime (5546096131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265265 + ... + 2267711.

It is an arithmetic number, because the mean of its divisors is an integer number (137700000).

Almost surely, 25546096136 is an apocalyptic number.

5546096136 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 5546096136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800000).

5546096136 is an abundant number, since it is smaller than the sum of its proper divisors (12079503864).

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

5546096136 is a wasteful number, since it uses less digits than its factorization.

5546096136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5546096136 is about 74472.1165000700. The cubic root of 5546096136 is about 1770.0918309150.

The spelling of 5546096136 in words is "five billion, five hundred forty-six million, ninety-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1499 1512 2447 2998 4497 4894 5996 7341 8994 9788 10493 11992 13491 14682 17129 17988 19576 20986 22023 26982 29364 31479 34258 35976 40473 41972 44046 51387 53964 58728 62958 66069 68516 80946 83944 88092 94437 102774 107928 125916 132138 137032 154161 161892 176184 188874 205548 251832 264276 283311 308322 323784 377748 411096 462483 528552 566622 616644 755496 924966 1133244 1233288 1849932 2266488 3668053 3699864 7336106 11004159 14672212 22008318 25676371 29344424 33012477 44016636 51352742 66024954 77029113 88033272 99037431 102705484 132049908 154058226 198074862 205410968 231087339 264099816 308116452 396149724 462174678 616232904 693262017 792299448 924349356 1386524034 1848698712 2773048068 5546096136