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10061015094 = 23213314493089
BaseRepresentation
bin10010101111010111…
…01110100000110110
3221222011120112002200
421113223232200312
5131101104440334
64342202245330
7504215134344
oct112753564066
927864515080
1010061015094
1142a31a9609
121b494b6846
13c44531490
146b62c6994
153dd411799
hex257aee836

10061015094 has 96 divisors (see below), whose sum is σ = 24294816000. Its totient is φ = 2988195840.

The previous prime is 10061015093. The next prime is 10061015113. The reversal of 10061015094 is 49051016001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061015093) 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 47 ways as a sum of consecutive naturals, for example, 3255502 + ... + 3258590.

It is an arithmetic number, because the mean of its divisors is an integer number (253071000).

Almost surely, 210061015094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10061015094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147408000).

10061015094 is an abundant number, since it is smaller than the sum of its proper divisors (14233800906).

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

10061015094 is a wasteful number, since it uses less digits than its factorization.

10061015094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10061015094 in words is "ten billion, sixty-one million, fifteen thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 449 558 806 898 1209 1347 2418 2694 3089 3627 4041 5837 6178 7254 8082 9267 11674 13919 17511 18534 27801 27838 35022 40157 41757 52533 55602 80314 83514 95759 105066 120471 125271 180947 191518 240942 250542 287277 361413 361894 542841 574554 722826 861831 1085682 1244867 1386961 1628523 1723662 2489734 2773922 3257046 3734601 4160883 7469202 8321766 11203803 12482649 18030493 22407606 24965298 36060986 42995791 54091479 85991582 108182958 128987373 162274437 257974746 324548874 386962119 558945283 773924238 1117890566 1676835849 3353671698 5030507547 10061015094