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5480954136 = 2332783131023
BaseRepresentation
bin1010001101011000…
…01011100100011000
3112010222101022121100
411012230023210120
542211111013021
62303511511400
7252552225060
oct50654134430
915128338540
105480954136
112362945a69
12108b688560
136946a5938
1439dcda3a0
152212ab626
hex146b0b918

5480954136 has 96 divisors (see below), whose sum is σ = 17169384960. Its totient is φ = 1547107776.

The previous prime is 5480954051. The next prime is 5480954153. The reversal of 5480954136 is 6314590845.

5480954136 is a `hidden beast` number, since 548 + 0 + 95 + 4 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5480954091 and 5480954100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23680 + ... + 107343.

It is an arithmetic number, because the mean of its divisors is an integer number (178847760).

Almost surely, 25480954136 is an apocalyptic number.

5480954136 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 5480954136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584692480).

5480954136 is an abundant number, since it is smaller than the sum of its proper divisors (11688430824).

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

5480954136 is a wasteful number, since it uses less digits than its factorization.

5480954136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131125 (or 131118 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5480954136 is about 74033.4663243590. The cubic root of 5480954136 is about 1763.1342798747.

The spelling of 5480954136 in words is "five billion, four hundred eighty million, nine hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832 131023 262046 393069 524092 786138 917161 1048184 1179207 1572276 1834322 2358414 2751483 3144552 3668644 4716828 5502966 7337288 8254449 9433656 10874909 11005932 16508898 21749818 22011864 32624727 33017796 43499636 65249454 66035592 76124363 86999272 97874181 130498908 152248726 195748362 228373089 260997816 304497452 391496724 456746178 608994904 685119267 782993448 913492356 1370238534 1826984712 2740477068 5480954136