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742161635360 = 2559786355411
BaseRepresentation
bin10101100110011000100…
…01111101100000100000
32121221122112001101111022
422303030101331200200
544124421334312420
61324535551305012
7104422312546145
oct12631421754040
92557575041438
10742161635360
11266826993342
12bba0451b168
1354ca730a782
1427cc6a043cc
151448a72dc25
hexaccc47d820

742161635360 has 96 divisors (see below), whose sum is σ = 1773517358592. Its totient is φ = 293458452480.

The previous prime is 742161635339. The next prime is 742161635363. The reversal of 742161635360 is 63536161247.

It is not an unprimeable number, because it can be changed into a prime (742161635363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13366055 + ... + 13421465.

It is an arithmetic number, because the mean of its divisors is an integer number (18474139152).

Almost surely, 2742161635360 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 742161635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886758679296).

742161635360 is an abundant number, since it is smaller than the sum of its proper divisors (1031355723232).

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

742161635360 is a wasteful number, since it uses less digits than its factorization.

742161635360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56386 (or 56378 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 742161635360 in words is "seven hundred forty-two billion, one hundred sixty-one million, six hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 863 970 1552 1726 1940 3104 3452 3880 4315 6904 7760 8630 13808 15520 17260 27616 34520 55411 69040 83711 110822 138080 167422 221644 277055 334844 418555 443288 554110 669688 837110 886576 1108220 1339376 1674220 1773152 2216440 2678752 3348440 4432880 5374867 6696880 8865760 10749734 13393760 21499468 26874335 42998936 47819693 53748670 85997872 95639386 107497340 171995744 191278772 214994680 239098465 382557544 429989360 478196930 765115088 859978720 956393860 1530230176 1912787720 3825575440 4638510221 7651150880 9277020442 18554040884 23192551105 37108081768 46385102210 74216163536 92770204420 148432327072 185540408840 371080817680 742161635360