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925245318114 = 2321319465744687
BaseRepresentation
bin11010111011011001110…
…10110010001111100010
310021110012221022010020100
431131230322302033202
5110124400300134424
61545015110123230
7123563304304035
oct15355472621742
93243187263210
10925245318114
11327437951a67
1212b39a950516
1369333a85c70
1432ad418b01c
1519103a0adc9
hexd76ceb23e2

925245318114 has 96 divisors (see below), whose sum is σ = 2273071207680. Its totient is φ = 269643188736.

The previous prime is 925245318083. The next prime is 925245318121. The reversal of 925245318114 is 411813542529.

925245318114 is a `hidden beast` number, since 9 + 2 + 5 + 2 + 453 + 181 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 925245318114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20682679 + ... + 20727365.

It is an arithmetic number, because the mean of its divisors is an integer number (23677825080).

Almost surely, 2925245318114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925245318114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136535603840).

925245318114 is an abundant number, since it is smaller than the sum of its proper divisors (1347825889566).

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

925245318114 is a wasteful number, since it uses less digits than its factorization.

925245318114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49384 (or 49381 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 925245318114 in words is "nine hundred twenty-five billion, two hundred forty-five million, three hundred eighteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 4657 9314 13971 27942 41913 44687 60541 83826 88483 89374 121082 134061 176966 181623 265449 268122 363246 402183 530898 544869 580931 796347 804366 849053 1089738 1150279 1161862 1592694 1698106 1742793 2300558 2547159 3450837 3485586 5094318 5228379 6901674 7641477 10352511 10456758 11037689 15282954 20705022 22075378 33113067 66226134 99339201 198678402 208107359 416214718 624322077 1248644154 1872966231 2705395667 3745932462 3954039821 5410791334 7908079642 8116187001 11862119463 16232374002 23724238926 24348561003 35586358389 48697122006 51402517673 71172716778 102805035346 154207553019 308415106038 462622659057 925245318114