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942874205939968 = 28171277877216571
BaseRepresentation
bin1101011001100010100000001…
…0000111001110100100000000
311120122102220010120022200200111
43112120220002013032210000
51442041022333210034333
613141154232553201104
7402413261535364351
oct32630500207164400
94518386116280614
10942874205939968
11253479783634025
12898bb407a00194
133161586b60cb33
14128b94d840bd28
1574014c64cd4cd
hex3598a021ce900

942874205939968 has 144 divisors (see below), whose sum is σ = 2008730429282304. Its totient is φ = 440153846415360.

The previous prime is 942874205939903. The next prime is 942874205939983. The reversal of 942874205939968 is 869939502478249.

It is a Smith number, since the sum of its digits (85) coincides with the sum of the digits of its prime factors.

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, 4353541123 + ... + 4353757693.

It is an arithmetic number, because the mean of its divisors is an integer number (13949516870016).

Almost surely, 2942874205939968 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 942874205939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004365214641152).

942874205939968 is an abundant number, since it is smaller than the sum of its proper divisors (1065856223342336).

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

942874205939968 is a wasteful number, since it uses less digits than its factorization.

942874205939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224608 (or 224594 counting only the distinct ones).

The product of its (nonzero) digits is 16930529280, while the sum is 85.

The spelling of 942874205939968 in words is "nine hundred forty-two trillion, eight hundred seventy-four billion, two hundred five million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 272 508 544 1016 1088 2032 2159 2176 4064 4318 4352 7877 8128 8636 15754 16256 17272 31508 32512 34544 63016 69088 126032 133909 138176 216571 252064 267818 276352 433142 504128 535636 552704 866284 1000379 1008256 1071272 1732568 2000758 2016512 2142544 3465136 3681707 4001516 4285088 6930272 7363414 8003032 8570176 13860544 14726828 16006064 17006443 17140352 27504517 27721088 29453656 32012128 34012886 34280704 55009034 55442176 58907312 64024256 68025772 110018068 117814624 128048512 136051544 220036136 235629248 256097024 272103088 440072272 467576789 471258496 544206176 880144544 935153578 942516992 1088412352 1705929767 1760289088 1870307156 2176824704 3411859534 3520578176 3740614312 4353649408 6823719068 7041156352 7481228624 13647438136 14962457248 27294876272 29000806039 29924914496 54589752544 58001612078 59849828992 109179505088 116003224156 119699657984 216653080409 218359010176 232006448312 433306160818 436718020352 464012896624 866612321636 928025793248 1733224643272 1856051586496 3466449286544 3683102366953 3712103172992 6932898573088 7366204733906 7424206345984 13865797146176 14732409467812 27731594292352 29464818935624 55463188584704 58929637871248 117859275742496 235718551484992 471437102969984 942874205939968