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1090193743016 = 237103227832631
BaseRepresentation
bin11111101110101001001…
…11000101110010101000
310212012222110212022001122
433313110213011302220
5120330204044234031
62152454511234412
7141523005630020
oct17672447056250
93765873768048
101090193743016
11390391a45a84
12157353818a08
137ba60294151
143aaa0d78a80
151d559b1347b
hexfdd49c5ca8

1090193743016 has 64 divisors (see below), whose sum is σ = 2369204398080. Its totient is φ = 460650882240.

The previous prime is 1090193742983. The next prime is 1090193743033. The reversal of 1090193743016 is 6103473910901.

It is a super-2 number, since 2×10901937430162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893021 + ... + 1725651.

It is an arithmetic number, because the mean of its divisors is an integer number (37018818720).

Almost surely, 21090193743016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090193743016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184602199040).

1090193743016 is an abundant number, since it is smaller than the sum of its proper divisors (1279010655064).

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

1090193743016 is a wasteful number, since it uses less digits than its factorization.

1090193743016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832974 (or 832970 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The spelling of 1090193743016 in words is "one trillion, ninety billion, one hundred ninety-three million, seven hundred forty-three thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 103 206 227 412 454 721 824 908 1442 1589 1816 2884 3178 5768 6356 12712 23381 46762 93524 163667 187048 327334 654668 832631 1309336 1665262 3330524 5828417 6661048 11656834 23313668 46627336 85760993 171521986 189007237 343043972 378014474 600326951 686087944 756028948 1200653902 1323050659 1512057896 2401307804 2646101318 4802615608 5292202636 10584405272 19467745411 38935490822 77870981644 136274217877 155741963288 272548435754 545096871508 1090193743016