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42682356280 = 23517414732573
BaseRepresentation
bin100111110000000100…
…010001001000111000
311002011121101100120101
4213300010101020320
51144403140400110
631335155005144
73040465020334
oct476004211070
9132147340511
1042682356280
1117113094013
1283322997b4
1340429cc225
1420cc92a7c4
15119c23413a
hex9f0111238

42682356280 has 128 divisors (see below), whose sum is σ = 106384078080. Its totient is φ = 15342714880.

The previous prime is 42682356251. The next prime is 42682356307. The reversal of 42682356280 is 8265328624.

It is a happy number.

It is a super-2 number, since 2×426823562802 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42682356280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294074 + ... + 1326646.

It is an arithmetic number, because the mean of its divisors is an integer number (831125610).

Almost surely, 242682356280 is an apocalyptic number.

42682356280 is a gapful number since it is divisible by the number (40) 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 42682356280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53192039040).

42682356280 is an abundant number, since it is smaller than the sum of its proper divisors (63701721800).

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

42682356280 is a wasteful number, since it uses less digits than its factorization.

42682356280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32689 (or 32685 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 42682356280 in words is "forty-two billion, six hundred eighty-two million, three hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 47 68 82 85 94 136 164 170 188 205 235 328 340 376 410 470 680 697 799 820 940 1394 1598 1640 1880 1927 2788 3196 3485 3854 3995 5576 6392 6970 7708 7990 9635 13940 15416 15980 19270 27880 31960 32573 32759 38540 65146 65518 77080 130292 131036 162865 163795 260584 262072 325730 327590 553741 651460 655180 1107482 1302920 1310360 1335493 1530931 2214964 2670986 2768705 3061862 4429928 5341972 5537410 6123724 6677465 7654655 10683944 11074820 12247448 13354930 15309310 22149640 22703381 26025827 26709860 30618620 45406762 52051654 53419720 61237240 62768171 90813524 104103308 113516905 125536342 130129135 181627048 208206616 227033810 251072684 260258270 313840855 454067620 502145368 520516540 627681710 908135240 1041033080 1067058907 1255363420 2134117814 2510726840 4268235628 5335294535 8536471256 10670589070 21341178140 42682356280