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5456912416 = 251737326893
BaseRepresentation
bin1010001010100000…
…11110000000100000
3112002022010212120021
411011100132000200
542133432144131
62301252323224
7252140663434
oct50520360040
915068125507
105456912416
11235031507a
121083613514
1368c708977
1439aa3c9c4
1521e10ce11
hex14541e020

5456912416 has 48 divisors (see below), whose sum is σ = 11406175704. Its totient is φ = 2560978944.

The previous prime is 5456912387. The next prime is 5456912429. The reversal of 5456912416 is 6142196545.

It can be written as a sum of positive squares in 4 ways, for example, as 5437587600 + 19324816 = 73740^2 + 4396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189466 + ... + 216358.

Almost surely, 25456912416 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 5456912416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703087852).

5456912416 is an abundant number, since it is smaller than the sum of its proper divisors (5949263288).

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

5456912416 is a wasteful number, since it uses less digits than its factorization.

5456912416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27293 (or 27285 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 5456912416 is about 73870.9172543566. The cubic root of 5456912416 is about 1760.5525572211.

The spelling of 5456912416 in words is "five billion, four hundred fifty-six million, nine hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 373 544 746 1492 2984 5968 6341 11936 12682 25364 26893 50728 53786 101456 107572 202912 215144 430288 457181 860576 914362 1828724 3657448 7314896 10031089 14629792 20062178 40124356 80248712 160497424 170528513 320994848 341057026 682114052 1364228104 2728456208 5456912416