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10957371390 = 2345713913903
BaseRepresentation
bin10100011010001110…
…00011011111111110
31001021122020010210000
422031013003133332
5134420041341030
65011142255130
7535351056120
oct121507033776
931248203700
1010957371390
114713172339
1221597274a6
131058150514
1475d375210
15441e6d860
hex28d1c37fe

10957371390 has 160 divisors (see below), whose sum is σ = 33916861440. Its totient is φ = 2486344896.

The previous prime is 10957371389. The next prime is 10957371391. The reversal of 10957371390 is 9317375901.

10957371390 is a `hidden beast` number, since 1 + 0 + 9 + 573 + 71 + 3 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10957371389) and next prime (10957371391).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957371391) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 781179 + ... + 795081.

It is an arithmetic number, because the mean of its divisors is an integer number (211980384).

Almost surely, 210957371390 is an apocalyptic number.

10957371390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10957371390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958430720).

10957371390 is an abundant number, since it is smaller than the sum of its proper divisors (22959490050).

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

10957371390 is a wasteful number, since it uses less digits than its factorization.

10957371390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14068 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 178605, while the sum is 45.

The spelling of 10957371390 in words is "ten billion, nine hundred fifty-seven million, three hundred seventy-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 139 162 189 210 270 278 315 378 405 417 567 630 695 810 834 945 973 1134 1251 1390 1890 1946 2085 2502 2835 2919 3753 4170 4865 5670 5838 6255 7506 8757 9730 11259 12510 13903 14595 17514 18765 22518 26271 27806 29190 37530 41709 43785 52542 56295 69515 78813 83418 87570 97321 112590 125127 131355 139030 157626 194642 208545 250254 262710 291963 375381 394065 417090 486605 583926 625635 750762 788130 875889 973210 1126143 1251270 1459815 1751778 1876905 1932517 2252286 2627667 2919630 3753810 3865034 4379445 5255334 5630715 5797551 7883001 8758890 9662585 11261430 11595102 13138335 13527619 15766002 17392653 19325170 26276670 27055238 28987755 34785306 39415005 40582857 52177959 57975510 67638095 78830010 81165714 86963265 104355918 121748571 135276190 156533877 173926530 202914285 243497142 260889795 313067754 365245713 405828570 521779590 608742855 730491426 782669385 1095737139 1217485710 1565338770 1826228565 2191474278 3652457130 5478685695 10957371390