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5115461344 = 257372272719
BaseRepresentation
bin1001100001110011…
…11011111011100000
3111012111122100202021
410300321323323200
540434024230334
62203334031224
7240523463320
oct46071737340
914174570667
105115461344
1121955a9904
12ba91a8514
13636a56a06
14367559280
151ee1623b4
hex130e7bee0

5115461344 has 96 divisors (see below), whose sum is σ = 11877304320. Its totient is φ = 2122910208.

The previous prime is 5115461327. The next prime is 5115461353. The reversal of 5115461344 is 4431645115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1880017 + ... + 1882735.

It is an arithmetic number, because the mean of its divisors is an integer number (123721920).

Almost surely, 25115461344 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 5115461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938652160).

5115461344 is an abundant number, since it is smaller than the sum of its proper divisors (6761842976).

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

5115461344 is a wasteful number, since it uses less digits than its factorization.

5115461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2992 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 5115461344 is about 71522.4534254803. The cubic root of 5115461344 is about 1723.0383182399.

The spelling of 5115461344 in words is "five billion, one hundred fifteen million, four hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 227 259 296 454 518 592 908 1036 1184 1589 1816 2072 2719 3178 3632 4144 5438 6356 7264 8288 8399 10876 12712 16798 19033 21752 25424 33596 38066 43504 50848 58793 67192 76132 87008 100603 117586 134384 152264 201206 235172 268768 304528 402412 470344 609056 617213 704221 804824 940688 1234426 1408442 1609648 1881376 2468852 2816884 3219296 4320491 4937704 5633768 8640982 9875408 11267536 17281964 19750816 22535072 22836881 34563928 45673762 69127856 91347524 138255712 159858167 182695048 319716334 365390096 639432668 730780192 1278865336 2557730672 5115461344