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5734224864 = 253270128403
BaseRepresentation
bin1010101011100100…
…10101001111100000
3112210121221210201200
411111302111033200
543220430143424
62345000201200
7262046051514
oct52562251740
915717853650
105734224864
112482903015
121140469200
13704cc1c84
143c57c8144
152386398c9
hex155c953e0

5734224864 has 72 divisors (see below), whose sum is σ = 16330538952. Its totient is φ = 1908614400.

The previous prime is 5734224857. The next prime is 5734224893. The reversal of 5734224864 is 4684224375.

It is a happy number.

5734224864 is a `hidden beast` number, since 5 + 7 + 342 + 248 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187687 + ... + 216089.

It is an arithmetic number, because the mean of its divisors is an integer number (226813041).

Almost surely, 25734224864 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 5734224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165269476).

5734224864 is an abundant number, since it is smaller than the sum of its proper divisors (10596314088).

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

5734224864 is a wasteful number, since it uses less digits than its factorization.

5734224864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29120 (or 29109 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 5734224864 is about 75724.6648325366. The cubic root of 5734224864 is about 1789.8840851668.

The spelling of 5734224864 in words is "five billion, seven hundred thirty-four million, two hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 701 1402 2103 2804 4206 5608 6309 8412 11216 12618 16824 22432 25236 28403 33648 50472 56806 67296 85209 100944 113612 170418 201888 227224 255627 340836 454448 511254 681672 908896 1022508 1363344 2045016 2726688 4090032 8180064 19910503 39821006 59731509 79642012 119463018 159284024 179194527 238926036 318568048 358389054 477852072 637136096 716778108 955704144 1433556216 1911408288 2867112432 5734224864