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5493090816 = 293614717
BaseRepresentation
bin1010001110110100…
…11110101000000000
3112011211012221000000
411013122132220000
542222212401231
62305024000000
7253060334013
oct50732365000
915154187000
105493090816
112369785484
121093760000
13697064bc5
143a177937a
152223a76e6
hex14769ea00

5493090816 has 140 divisors (see below), whose sum is σ = 16456769802. Its totient is φ = 1830905856.

The previous prime is 5493090797. The next prime is 5493090833. The reversal of 5493090816 is 6180903945.

It is a happy number.

5493090816 is a `hidden beast` number, since 549 + 3 + 0 + 90 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5080838400 + 412252416 = 71280^2 + 20304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 365890 + ... + 380606.

Almost surely, 25493090816 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 5493090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228384901).

5493090816 is an abundant number, since it is smaller than the sum of its proper divisors (10963678986).

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

5493090816 is an frugal number, since it uses more digits than its factorization.

5493090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14753 (or 14722 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5493090816 is about 74115.3885235718. The cubic root of 5493090816 is about 1764.4347116884.

The spelling of 5493090816 in words is "five billion, four hundred ninety-three million, ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 14717 15552 20736 23328 29434 31104 41472 44151 46656 58868 62208 88302 93312 117736 124416 132453 176604 186624 235472 264906 353208 373248 397359 470944 529812 706416 794718 941888 1059624 1192077 1412832 1589436 1883776 2119248 2384154 2825664 3178872 3576231 3767552 4238496 4768308 5651328 6357744 7152462 7535104 8476992 9536616 10728693 11302656 12715488 14304924 16953984 19073232 21457386 22605312 25430976 28609848 33907968 38146464 42914772 50861952 57219696 67815936 76292928 85829544 101723904 114439392 152585856 171659088 203447808 228878784 305171712 343318176 457757568 610343424 686636352 915515136 1373272704 1831030272 2746545408 5493090816