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5071164672 = 28371516247
BaseRepresentation
bin1001011100100001…
…11101010100000000
3111002102021212010210
410232100331110000
540341204232142
62155112354120
7236445121440
oct45620752400
914072255123
105071164672
1121725a4092
12b963a5940
1362a817572
14361708120
151ea31249c
hex12e43d500

5071164672 has 144 divisors (see below), whose sum is σ = 15529428992. Its totient is φ = 1439078400.

The previous prime is 5071164671. The next prime is 5071164677. The reversal of 5071164672 is 2764611705.

It is a super-2 number, since 2×50711646722 = 51433422261081735168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5071164672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5071164671) 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, 808653 + ... + 814899.

Almost surely, 25071164672 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 5071164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764714496).

5071164672 is an abundant number, since it is smaller than the sum of its proper divisors (10458264320).

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

5071164672 is a wasteful number, since it uses less digits than its factorization.

5071164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 5071164672 is about 71212.1104307406. The cubic root of 5071164672 is about 1718.0504176711.

The spelling of 5071164672 in words is "five billion, seventy-one million, one hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 256 302 336 384 448 453 604 672 768 896 906 1057 1208 1344 1792 1812 2114 2416 2688 3171 3624 4228 4832 5376 6247 6342 7248 8456 9664 12494 12684 14496 16912 18741 19328 24988 25368 28992 33824 37482 38656 43729 49976 50736 57984 67648 74964 87458 99952 101472 115968 131187 135296 149928 174916 199904 202944 262374 270592 299856 349832 399808 405888 524748 599712 699664 799616 811776 943297 1049496 1199424 1399328 1599232 1886594 2098992 2398848 2798656 2829891 3773188 4197984 4797696 5597312 5659782 6603079 7546376 8395968 11194624 11319564 13206158 15092752 16791936 19809237 22639128 26412316 30185504 33583872 39618474 45278256 52824632 60371008 79236948 90556512 105649264 120742016 158473896 181113024 211298528 241484032 316947792 362226048 422597056 633895584 724452096 845194112 1267791168 1690388224 2535582336 5071164672