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7423680942 = 234292117489
BaseRepresentation
bin1101110100111110…
…00110000110101110
3201011100222001210000
412322133012012232
5110200430242232
63224351125130
7351652150446
oct67237060656
921140861700
107423680942
11316a524407
1215322137a6
13914019222
14505d27126
152d6b0927c
hex1ba7c61ae

7423680942 has 80 divisors (see below), whose sum is σ = 17292013200. Its totient is φ = 2377589760.

The previous prime is 7423680941. The next prime is 7423680967. The reversal of 7423680942 is 2490863247.

It is a super-2 number, since 2×74236809422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7423680941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 987534 + ... + 995022.

It is an arithmetic number, because the mean of its divisors is an integer number (216150165).

Almost surely, 27423680942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7423680942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646006600).

7423680942 is an abundant number, since it is smaller than the sum of its proper divisors (9868332258).

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

7423680942 is a wasteful number, since it uses less digits than its factorization.

7423680942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7423680942 is about 86160.7854072837. The cubic root of 7423680942 is about 1950.7716378089.

The spelling of 7423680942 in words is "seven billion, four hundred twenty-three million, six hundred eighty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 211 261 422 522 633 783 1266 1566 1899 2349 3798 4698 5697 6119 7489 11394 12238 14978 17091 18357 22467 34182 36714 44934 55071 67401 110142 134802 165213 202203 217181 330426 404406 434362 495639 606609 651543 991278 1213218 1303086 1580179 1954629 3160358 3909258 4740537 5863887 9481074 11727774 14221611 17591661 28443222 35183322 42664833 45825191 85329666 91650382 127994499 137475573 255988998 274951146 412426719 824853438 1237280157 2474560314 3711840471 7423680942