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5546064672 = 2532314713217
BaseRepresentation
bin1010010101001001…
…00011101100100000
3112022111220021110200
411022210203230200
542324243032142
62314155225200
7254302525521
oct51244435440
915274807420
105546064672
112396677525
1210a9448200
136a5021a95
143a8808848
15226d6d64c
hex14a923b20

5546064672 has 144 divisors (see below), whose sum is σ = 16628032512. Its totient is φ = 1750855680.

The previous prime is 5546064659. The next prime is 5546064691. The reversal of 5546064672 is 2764606455.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413008 + ... + 426224.

It is an arithmetic number, because the mean of its divisors is an integer number (115472448).

Almost surely, 25546064672 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 5546064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314016256).

5546064672 is an abundant number, since it is smaller than the sum of its proper divisors (11081967840).

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

5546064672 is a wasteful number, since it uses less digits than its factorization.

5546064672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5546064672 is about 74471.9052529207. The cubic root of 5546064672 is about 1770.0884835590.

The spelling of 5546064672 in words is "five billion, five hundred forty-six million, sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 47 48 62 72 93 94 96 124 141 144 186 188 248 279 282 288 372 376 423 496 558 564 744 752 846 992 1116 1128 1457 1488 1504 1692 2232 2256 2914 2976 3384 4371 4464 4512 5828 6768 8742 8928 11656 13113 13217 13536 17484 23312 26226 26434 34968 39651 46624 52452 52868 69936 79302 104904 105736 118953 139872 158604 209808 211472 237906 317208 409727 419616 422944 475812 621199 634416 819454 951624 1229181 1242398 1268832 1638908 1863597 1903248 2458362 2484796 3277816 3687543 3727194 3806496 4916724 4969592 5590791 6555632 7375086 7454388 9833448 9939184 11181582 13111264 14750172 14908776 19257169 19666896 19878368 22363164 29500344 29817552 38514338 39333792 44726328 57771507 59000688 59635104 77028676 89452656 115543014 118001376 154057352 173314521 178905312 231086028 308114704 346629042 462172056 616229408 693258084 924344112 1386516168 1848688224 2773032336 5546064672