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5514107040 = 25325131937419
BaseRepresentation
bin1010010001010101…
…01001100010100000
3112020021202122211200
411020222221202200
542243102411130
62311054241200
7253434064551
oct51052514240
915207678750
105514107040
11237a62a262
12109a7b6200
1369b512a40
143a448a328
15224159760
hex148aa98a0

5514107040 has 576 divisors, whose sum is σ = 21959683200. Its totient is φ = 1248141312.

The previous prime is 5514107033. The next prime is 5514107041. The reversal of 5514107040 is 407014155.

It is a happy number.

5514107040 is a `hidden beast` number, since 5 + 514 + 107 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5514106995 and 5514107013.

It is not an unprimeable number, because it can be changed into a prime (5514107041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13159951 + ... + 13160369.

It is an arithmetic number, because the mean of its divisors is an integer number (38124450).

Almost surely, 25514107040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5514107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979841600).

5514107040 is an abundant number, since it is smaller than the sum of its proper divisors (16445576160).

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

5514107040 is a wasteful number, since it uses less digits than its factorization.

5514107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5514107040 is about 74257.0336062517. The cubic root of 5514107040 is about 1766.6820538987.

The spelling of 5514107040 in words is "five billion, five hundred fourteen million, one hundred seven thousand, forty".