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1049785667442 = 2348981189779
BaseRepresentation
bin11110100011011000001…
…10100000111101110010
310201100200100221101010000
433101230012200331302
5114144430112324232
62122133114050430
7135562444641351
oct17215406407562
93640610841100
101049785667442
113752367067a6
1214b557119a16
1377cc0803665
1438b4a503998
151c4923c027c
hexf46c1a0f72

1049785667442 has 80 divisors (see below), whose sum is σ = 2381687431200. Its totient is φ = 345566295360.

The previous prime is 1049785667429. The next prime is 1049785667471. The reversal of 1049785667442 is 2447665879401.

1049785667442 is a `hidden beast` number, since 1 + 0 + 497 + 85 + 6 + 67 + 4 + 4 + 2 = 666.

1049785667442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10497856674422 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1049785667442.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11648109 + ... + 11737887.

It is an arithmetic number, because the mean of its divisors is an integer number (29771092890).

Almost surely, 21049785667442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049785667442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190843715600).

1049785667442 is an abundant number, since it is smaller than the sum of its proper divisors (1331901763758).

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

1049785667442 is an equidigital number, since it uses as much as digits as its factorization.

1049785667442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90693 (or 90684 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 1049785667442 in words is "one trillion, forty-nine billion, seven hundred eighty-five million, six hundred sixty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 811 1602 1622 2403 2433 4806 4866 7209 7299 14418 14598 21897 43794 65691 72179 89779 131382 144358 179558 216537 269337 433074 538674 649611 808011 1299222 1616022 1948833 2424033 3897666 4848066 5846499 7272099 7990331 11692998 14544198 15980662 23970993 47941986 71912979 72810769 143825958 145621538 215738937 218432307 431477874 436864614 647216811 655296921 1294433622 1310593842 1965890763 3931781526 5897672289 6480158441 11795344578 12960316882 19440475323 38880950646 58321425969 116642851938 174964277907 349928555814 524892833721 1049785667442