Search a number
-
+
5157222986304 = 2634315412
BaseRepresentation
bin100101100001100001001…
…1100011011001001000000
3200021000200201220100210000
41023003002130123021000
51133443443041030204
614545110122440000
71041411536044404
oct113030234331100
920230621810700
105157222986304
111709190a22184
126b3607663000
132b5429bc13cc
1413b87a53b104
158e2404b5039
hex4b0c271b240

5157222986304 has 105 divisors (see below), whose sum is σ = 15288109248841. Its totient is φ = 1719019825920.

The previous prime is 5157222986249. The next prime is 5157222986359. The reversal of 5157222986304 is 4036892227515.

The square root of 5157222986304 is 2270952.

It is a perfect power (a square), and thus also a powerful number.

5157222986304 is a `hidden beast` number, since 5 + 1 + 572 + 2 + 2 + 9 + 8 + 63 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5157222986249) and next prime (5157222986359).

It can be written as a sum of positive squares in only one way, i.e., 26454371904 + 5130768614400 = 162648^2 + 2265120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 163492774 + ... + 163524314.

It is a 2-persistent number, because it is pandigital, and so is 2⋅5157222986304 = 10314445972608, but 3⋅5157222986304 = 15471668958912 is not.

Almost surely, 25157222986304 is an apocalyptic number.

5157222986304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5157222986304 is the 2270952-nd square number.

It is an amenable number.

5157222986304 is an abundant number, since it is smaller than the sum of its proper divisors (10130886262537).

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

5157222986304 is an frugal number, since it uses more digits than its factorization.

5157222986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63106 (or 31546 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5157222986304 in words is "five trillion, one hundred fifty-seven billion, two hundred twenty-two million, nine hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 31541 63082 94623 126164 189246 252328 283869 378492 504656 567738 756984 851607 1009312 1135476 1513968 1703214 2018624 2270952 2554821 3027936 3406428 4541904 5109642 6055872 6812856 9083808 10219284 13625712 18167616 20438568 27251424 40877136 54502848 81754272 163508544 994834681 1989669362 2984504043 3979338724 5969008086 7958677448 8953512129 11938016172 15917354896 17907024258 23876032344 26860536387 31834709792 35814048516 47752064688 53721072774 63669419584 71628097032 80581609161 95504129376 107442145548 143256194064 161163218322 191008258752 214884291096 286512388128 322326436644 429768582192 573024776256 644652873288 859537164384 1289305746576 1719074328768 2578611493152 5157222986304