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4073794816 = 28713315641
BaseRepresentation
bin1111001011010001…
…0010110100000000
3101111220120012220111
43302310102310000
531320342413231
61512123321104
7202644453550
oct36264226400
911456505814
104073794816
111800607383
12958380194
134cbcbb5a0
142a9083160
1518c9a04b1
hexf2d12d00

4073794816 has 144 divisors (see below), whose sum is σ = 10332894208. Its totient is φ = 1559347200.

The previous prime is 4073794811. The next prime is 4073794853. The reversal of 4073794816 is 6184973704.

It is a self number, because there is not a number n which added to its sum of digits gives 4073794816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073794811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 719356 + ... + 724996.

Almost surely, 24073794816 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 4073794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166447104).

4073794816 is an abundant number, since it is smaller than the sum of its proper divisors (6259099392).

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

4073794816 is a wasteful number, since it uses less digits than its factorization.

4073794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 4073794816 is about 63826.2862463421. The cubic root of 4073794816 is about 1597.1034594473.

The spelling of 4073794816 in words is "four billion, seventy-three million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 728 806 832 868 896 992 1456 1612 1664 1736 1792 1984 2821 2912 3224 3328 3472 3968 5641 5642 5824 6448 6944 7936 11282 11284 11648 12896 13888 22564 22568 23296 25792 27776 39487 45128 45136 51584 55552 73333 78974 90256 90272 103168 146666 157948 174871 180512 180544 293332 315896 349742 361024 361088 513331 586664 631792 699484 722048 722176 1026662 1173328 1224097 1263584 1398968 1444096 2053324 2273323 2346656 2448194 2527168 2797936 4106648 4546646 4693312 4896388 5054336 5595872 8213296 9093292 9386624 9792776 10108672 11191744 15913261 16426592 18186584 18773248 19585552 22383488 31826522 32853184 36373168 39171104 44766976 63653044 65706368 72746336 78342208 127306088 131412736 145492672 156684416 254612176 290985344 313368832 509224352 581970688 1018448704 2036897408 4073794816