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5540753538 = 233671818461
BaseRepresentation
bin1010010100100000…
…10011000010000010
3112022010220102222000
411022100103002002
542321413103123
62313445324430
7254206425255
oct51220230202
915263812860
105540753538
11239367a161
1210a7706716
136a3bb24b8
143a7c2509c
1522666eb43
hex14a413082

5540753538 has 64 divisors (see below), whose sum is σ = 12567085440. Its totient is φ = 1809086400.

The previous prime is 5540753527. The next prime is 5540753551. The reversal of 5540753538 is 8353570455.

5540753538 is a `hidden beast` number, since 5 + 5 + 40 + 75 + 3 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5540753493 and 5540753502.

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, 650628 + ... + 659088.

It is an arithmetic number, because the mean of its divisors is an integer number (196360710).

Almost surely, 25540753538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5540753538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283542720).

5540753538 is an abundant number, since it is smaller than the sum of its proper divisors (7026331902).

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

5540753538 is a wasteful number, since it uses less digits than its factorization.

5540753538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The square root of 5540753538 is about 74436.2380699079. The cubic root of 5540753538 is about 1769.5232671840.

The spelling of 5540753538 in words is "five billion, five hundred forty million, seven hundred fifty-three thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 67 134 181 201 362 402 543 603 1086 1206 1629 1809 3258 3618 4887 8461 9774 12127 16922 24254 25383 36381 50766 72762 76149 109143 152298 218286 228447 327429 456894 566887 654858 1133774 1531441 1700661 3062882 3401322 4594323 5101983 9188646 10203966 13782969 15305949 27565938 30611898 41348907 82697814 102606547 205213094 307819641 615639282 923458923 1846917846 2770376769 5540753538