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42861740896 = 25132343104179
BaseRepresentation
bin100111111010110000…
…100100001101100000
311002122002221001000001
4213322300210031200
51200240101202041
631405043505344
73045103533502
oct477260441540
9132562831001
1042861740896
11171a5376367
128382388254
134070c18c80
1421086a3d72
1511acd6a131
hex9fac24360

42861740896 has 96 divisors (see below), whose sum is σ = 97032418560. Its totient is φ = 18482010624.

The previous prime is 42861740891. The next prime is 42861740897. The reversal of 42861740896 is 69804716824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42861740891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359335 + ... + 463513.

It is an arithmetic number, because the mean of its divisors is an integer number (1010754360).

Almost surely, 242861740896 is an apocalyptic number.

42861740896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42861740896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48516209280).

42861740896 is an abundant number, since it is smaller than the sum of its proper divisors (54170677664).

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

42861740896 is a wasteful number, since it uses less digits than its factorization.

42861740896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104268 (or 104260 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 42861740896 in words is "forty-two billion, eight hundred sixty-one million, seven hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 43 46 52 86 92 104 172 184 208 299 344 368 416 559 598 688 736 989 1118 1196 1376 1978 2236 2392 3956 4472 4784 7912 8944 9568 12857 15824 17888 25714 31648 51428 102856 104179 205712 208358 411424 416716 833432 1354327 1666864 2396117 2708654 3333728 4479697 4792234 5417308 8959394 9584468 10834616 17918788 19168936 21669232 31149521 35837576 38337872 43338464 58236061 62299042 71675152 76675744 103033031 116472122 124598084 143350304 206066062 232944244 249196168 412132124 465888488 498392336 824264248 931776976 996784672 1339429403 1648528496 1863553952 2678858806 3297056992 5357717612 10715435224 21430870448 42861740896