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5337792288 = 2532315471093
BaseRepresentation
bin1001111100010100…
…00011111100100000
3111202222222221110200
410332022003330200
541412433323123
62241355225200
7246163325433
oct47612037440
914688887420
105337792288
11229a054394
12104b748200
13670b2c39a
14388cb181a
1521392d143
hex13e283f20

5337792288 has 144 divisors (see below), whose sum is σ = 15712010496. Its totient is φ = 1717148160.

The previous prime is 5337792221. The next prime is 5337792353. The reversal of 5337792288 is 8822977335.

5337792288 is a `hidden beast` number, since 533 + 7 + 7 + 9 + 22 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4883070 + ... + 4884162.

It is an arithmetic number, because the mean of its divisors is an integer number (109111184).

Almost surely, 25337792288 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 5337792288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856005248).

5337792288 is an abundant number, since it is smaller than the sum of its proper divisors (10374218208).

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

5337792288 is a wasteful number, since it uses less digits than its factorization.

5337792288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1676 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 5337792288 is about 73060.1963315183. The cubic root of 5337792288 is about 1747.6477008033.

The spelling of 5337792288 in words is "five billion, three hundred thirty-seven million, seven hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 547 558 744 992 1093 1094 1116 1488 1641 2186 2188 2232 2976 3279 3282 4372 4376 4464 4923 6558 6564 8744 8752 8928 9837 9846 13116 13128 16957 17488 17504 19674 19692 26232 26256 33883 33914 34976 39348 39384 50871 52464 52512 67766 67828 78696 78768 101649 101742 104928 135532 135656 152613 157392 157536 203298 203484 271064 271312 304947 305226 314784 406596 406968 542128 542624 597871 609894 610452 813192 813936 1084256 1195742 1219788 1220904 1626384 1627872 1793613 2391484 2439576 2441808 3252768 3587226 4782968 4879152 4883616 5380839 7174452 9565936 9758304 10761678 14348904 18534001 19131872 21523356 28697808 37068002 43046712 55602003 57395616 74136004 86093424 111204006 148272008 166806009 172186848 222408012 296544016 333612018 444816024 593088032 667224036 889632048 1334448072 1779264096 2668896144 5337792288