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5021301681 = 3211261269281
BaseRepresentation
bin1001010110100101…
…01111101110110001
3110221221110112222100
410223102233232301
540240423123211
62150131531013
7235301234334
oct45322575661
913857415870
105021301681
112147437300
12b81759a69
136203a9636
14358c4861b
151e5c63156
hex12b4afbb1

5021301681 has 72 divisors (see below), whose sum is σ = 8162055720. Its totient is φ = 2971584000.

The previous prime is 5021301631. The next prime is 5021301739. The reversal of 5021301681 is 1861031205.

It can be written as a sum of positive squares in 4 ways, for example, as 34117281 + 4987184400 = 5841^2 + 70620^2 .

It is not a de Polignac number, because 5021301681 - 230 = 3947559857 is a prime.

It is a super-2 number, since 2×50213016812 = 50426941143226851522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5021301631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17869261 + ... + 17869541.

It is an arithmetic number, because the mean of its divisors is an integer number (113361885).

Almost surely, 25021301681 is an apocalyptic number.

It is an amenable number.

5021301681 is a deficient number, since it is larger than the sum of its proper divisors (3140754039).

5021301681 is a wasteful number, since it uses less digits than its factorization.

5021301681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5021301681 is about 70861.1436613889. The cubic root of 5021301681 is about 1712.4008637516.

Adding to 5021301681 its reverse (1861031205), we get a palindrome (6882332886).

The spelling of 5021301681 in words is "five billion, twenty-one million, three hundred one thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 61 99 121 183 269 281 363 549 671 807 843 1089 2013 2421 2529 2959 3091 6039 7381 8877 9273 16409 17141 22143 26631 27819 32549 34001 49227 51423 66429 75589 97647 102003 147681 154269 180499 188551 226767 292941 306009 541497 565653 680301 831479 1624491 1696959 1985489 2074061 2494437 4610929 5956467 6222183 7483311 9146269 13832787 17869401 18666549 27438807 41498361 50720219 82316421 152160657 456481971 557922409 1673767227 5021301681