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10061401572 = 2232457611561
BaseRepresentation
bin10010101111011010…
…01100110111100100
3221222012022011020200
421113231030313210
5131101204322242
64342214430500
7504221334165
oct112755146744
927865264220
1010061401572
1142a3442a12
121b49662430
13c44638371
146b638776c
153dd48b04c
hex257b4cde4

10061401572 has 36 divisors (see below), whose sum is σ = 25488681036. Its totient is φ = 3346456320.

The previous prime is 10061401523. The next prime is 10061401583. The reversal of 10061401572 is 27510416001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9495722916 + 565678656 = 97446^2 + 23784^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 289329 + ... + 322232.

Almost surely, 210061401572 is an apocalyptic number.

10061401572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10061401572 is an abundant number, since it is smaller than the sum of its proper divisors (15427279464).

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

10061401572 is a wasteful number, since it uses less digits than its factorization.

10061401572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612028 (or 612023 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10061401572 its reverse (27510416001), we get a palindrome (37571817573).

The spelling of 10061401572 in words is "ten billion, sixty-one million, four hundred one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 16452 611561 1223122 1834683 2446244 3669366 5504049 7338732 11008098 22016196 279483377 558966754 838450131 1117933508 1676900262 2515350393 3353800524 5030700786 10061401572