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10141797246 = 237312793853
BaseRepresentation
bin10010111000111111…
…11000101101111110
3222011210120200101020
421130133320231332
5131232300002441
64354205525010
7506215566000
oct113437705576
928153520336
1010141797246
114334864419
121b70573766
13c581a6879
146c2d14370
153e556be66
hex25c7f8b7e

10141797246 has 64 divisors (see below), whose sum is σ = 23678976000. Its totient is φ = 2894639328.

The previous prime is 10141797241. The next prime is 10141797251. The reversal of 10141797246 is 64279714101.

It is an interprime number because it is at equal distance from previous prime (10141797241) and next prime (10141797251).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10141797198 and 10141797207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141797241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2630256 + ... + 2634108.

It is an arithmetic number, because the mean of its divisors is an integer number (369984000).

Almost surely, 210141797246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141797246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839488000).

10141797246 is an abundant number, since it is smaller than the sum of its proper divisors (13537178754).

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

10141797246 is a wasteful number, since it uses less digits than its factorization.

10141797246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 10141797246 in words is "ten billion, one hundred forty-one million, seven hundred ninety-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1279 2058 2558 3837 3853 7674 7706 8953 11559 17906 23118 26859 26971 53718 53942 62671 80913 125342 161826 188013 188797 376026 377594 438697 566391 877394 1132782 1316091 1321579 2632182 2643158 3964737 4927987 7929474 9855974 14783961 29567922 34495909 68991818 103487727 206975454 241471363 482942726 724414089 1448828178 1690299541 3380599082 5070898623 10141797246