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42676459616 = 257597145481
BaseRepresentation
bin100111101111101101…
…110001100001100000
311002011012021202212102
4213233231301201200
51144400133201431
631334424345532
73040363631030
oct475755614140
9132135252772
1042676459616
111710a82683a
1283303152a8
13404171628b
1420cbc338c0
15119b96bdcb
hex9efb71860

42676459616 has 96 divisors (see below), whose sum is σ = 99027048960. Its totient is φ = 17726284800.

The previous prime is 42676459601. The next prime is 42676459633. The reversal of 42676459616 is 61695467624.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 915596 + ... + 961076.

It is an arithmetic number, because the mean of its divisors is an integer number (1031531760).

Almost surely, 242676459616 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 42676459616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49513524480).

42676459616 is an abundant number, since it is smaller than the sum of its proper divisors (56350589344).

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

42676459616 is a wasteful number, since it uses less digits than its factorization.

42676459616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45628 (or 45620 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 56.

The spelling of 42676459616 in words is "forty-two billion, six hundred seventy-six million, four hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 71 112 118 142 224 236 284 413 472 497 568 826 944 994 1136 1652 1888 1988 2272 3304 3976 4189 6608 7952 8378 13216 15904 16756 29323 33512 45481 58646 67024 90962 117292 134048 181924 234584 318367 363848 469168 636734 727696 938336 1273468 1455392 2546936 2683379 3229151 5093872 5366758 6458302 10187744 10733516 12916604 18783653 21467032 22604057 25833208 37567306 42934064 45208114 51666416 75134612 85868128 90416228 103332832 150269224 180832456 190519909 300538448 361664912 381039818 601076896 723329824 762079636 1333639363 1524159272 2667278726 3048318544 5334557452 6096637088 10669114904 21338229808 42676459616