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41873027680 = 25511219710979
BaseRepresentation
bin100110111111110100…
…111011001001100000
311000002012111012110001
4212333310323021200
51141223443341210
631123004145344
73011436601621
oct467764731140
9130065435401
1041873027680
1116838261500
128147238254
133c44131273
142053253a48
15115116803a
hex9bfd3b260

41873027680 has 144 divisors (see below), whose sum is σ = 109297686960. Its totient is φ = 15147883520.

The previous prime is 41873027639. The next prime is 41873027681. The reversal of 41873027680 is 8672037814.

It is a self number, because there is not a number n which added to its sum of digits gives 41873027680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41873027681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3808431 + ... + 3819409.

It is an arithmetic number, because the mean of its divisors is an integer number (759011715).

Almost surely, 241873027680 is an apocalyptic number.

41873027680 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 41873027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54648843480).

41873027680 is an abundant number, since it is smaller than the sum of its proper divisors (67424659280).

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

41873027680 is a wasteful number, since it uses less digits than its factorization.

41873027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11213 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 41873027680 in words is "forty-one billion, eight hundred seventy-three million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 197 220 242 352 394 440 484 605 788 880 968 985 1210 1576 1760 1936 1970 2167 2420 3152 3872 3940 4334 4840 6304 7880 8668 9680 10835 10979 15760 17336 19360 21670 21958 23837 31520 34672 43340 43916 47674 54895 69344 86680 87832 95348 109790 119185 120769 173360 175664 190696 219580 238370 241538 346720 351328 381392 439160 476740 483076 603845 762784 878320 953480 966152 1207690 1328459 1756640 1906960 1932304 2162863 2415380 2656918 3813920 3864608 4325726 4830760 5313836 6642295 8651452 9661520 10627672 10814315 13284590 17302904 19323040 21255344 21628630 23791493 26569180 34605808 42510688 43257260 47582986 53138360 69211616 86514520 95165972 106276720 118957465 173029040 190331944 212553440 237914930 261706423 346058080 380663888 475829860 523412846 761327776 951659720 1046825692 1308532115 1903319440 2093651384 2617064230 3806638880 4187302768 5234128460 8374605536 10468256920 20936513840 41873027680