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5145738112 = 27233156383
BaseRepresentation
bin1001100101011010…
…11011101110000000
3111021121121120200001
410302231123232000
541014302104422
62210335005344
7241342023634
oct46255335600
914247546601
105145738112
1122006a9229
12bb7369854
136400c7968
1436b59adc4
15201b43227
hex132b5bb80

5145738112 has 64 divisors (see below), whose sum is σ = 11042242560. Its totient is φ = 2381575680.

The previous prime is 5145738107. The next prime is 5145738119. The reversal of 5145738112 is 2118375415.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×51457381123 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145738119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63073 + ... + 119455.

It is an arithmetic number, because the mean of its divisors is an integer number (172535040).

Almost surely, 25145738112 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 5145738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521121280).

5145738112 is an abundant number, since it is smaller than the sum of its proper divisors (5896504448).

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

5145738112 is a wasteful number, since it uses less digits than its factorization.

5145738112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56451 (or 56439 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The square root of 5145738112 is about 71733.8003454438. The cubic root of 5145738112 is about 1726.4310032188.

The spelling of 5145738112 in words is "five billion, one hundred forty-five million, seven hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1426 1472 1984 2852 2944 3968 5704 11408 22816 45632 56383 91264 112766 225532 451064 902128 1296809 1747873 1804256 2593618 3495746 3608512 5187236 6991492 7217024 10374472 13982984 20748944 27965968 40201079 41497888 55931936 80402158 82995776 111863872 160804316 165991552 223727744 321608632 643217264 1286434528 2572869056 5145738112