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5156314645504 = 21011264512
BaseRepresentation
bin100101100001000110001…
…0011011000010000000000
3200020221100102200212110011
41023002030103120100000
51133440113022124004
614544440033514304
71041350166216451
oct113021423302000
920227312625404
105156314645504
111708865213300
126b33b3412994
132b5313967449
1413b7d1a4d128
158e1da88c004
hex4b08c4d8400

5156314645504 has 99 divisors (see below), whose sum is σ = 11331591101103. Its totient is φ = 2343416064000.

The previous prime is 5156314645477. The next prime is 5156314645511. The reversal of 5156314645504 is 4055464136515.

The square root of 5156314645504 is 2270752.

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

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 799301479 + ... + 799307929.

Almost surely, 25156314645504 is an apocalyptic number.

5156314645504 is the 2270752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5156314645504

5156314645504 is an abundant number, since it is smaller than the sum of its proper divisors (6175276455599).

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

5156314645504 is an frugal number, since it uses more digits than its factorization.

5156314645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 49.

Multiplying 5156314645504 by its sum of digits (49), we get a square (252659417629696 = 158952642).

The spelling of 5156314645504 in words is "five trillion, one hundred fifty-six billion, three hundred fourteen million, six hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 6451 7744 11264 12902 15488 25804 30976 51608 61952 70961 103216 123904 141922 206432 283844 412864 567688 780571 825728 1135376 1561142 1651456 2270752 3122284 3302912 4541504 6244568 6605824 9083008 12489136 18166016 24978272 36332032 41615401 49956544 72664064 83230802 99913088 166461604 199826176 332923208 399652352 457769411 665846416 799304704 915538822 1331692832 1831077644 2663385664 3662155288 5035463521 5326771328 7324310576 10070927042 10653542656 14648621152 20141854084 21307085312 29297242304 40283708168 42614170624 58594484608 80567416336 117188969216 161134832672 234377938432 322269665344 468755876864 644539330688 1289078661376 2578157322752 5156314645504