Search a number
-
+
1010035063494 = 2322317954724917
BaseRepresentation
bin11101011001010101100…
…01111111101011000110
310120120002002011110200100
432230222301333223012
5113022022434012434
62052000444424530
7132654416245632
oct16545261775306
93516062143610
101010035063494
1135a3985096a6
12143902848146
1374327311932
1436c590d5dc2
151b41774d699
hexeb2ac7fac6

1010035063494 has 96 divisors (see below), whose sum is σ = 2300605182720. Its totient is φ = 319642779456.

The previous prime is 1010035063397. The next prime is 1010035063529. The reversal of 1010035063494 is 4943605300101.

1010035063494 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 3 + 5 + 0 + 634 + 9 + 4 = 666.

It is a super-2 number, since 2×10100350634942 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40523524 + ... + 40548440.

It is an arithmetic number, because the mean of its divisors is an integer number (23964637320).

Almost surely, 21010035063494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010035063494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150302591360).

1010035063494 is an abundant number, since it is smaller than the sum of its proper divisors (1290570119226).

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

1010035063494 is a wasteful number, since it uses less digits than its factorization.

1010035063494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25674 (or 25671 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1010035063494 in words is "one trillion, ten billion, thirty-five million, sixty-three thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 179 207 358 414 537 547 1074 1094 1611 1641 3222 3282 4117 4923 8234 9846 12351 12581 24702 24917 25162 37053 37743 49834 74106 74751 75486 97913 113229 149502 195826 224253 226458 293739 448506 573091 587478 881217 1146182 1719273 1762434 2251999 3438546 4460143 4503998 5157819 6755997 8920286 10315638 13380429 13511994 13629599 20267991 26760858 27259198 40141287 40535982 40888797 80282574 81777594 102583289 122666391 205166578 245332782 307749867 313480777 615499734 626961554 923249601 940442331 1846499202 1880884662 2439698221 2821326993 4879396442 5642653986 7319094663 14638189326 21957283989 43914567978 56113059083 112226118166 168339177249 336678354498 505017531747 1010035063494