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42818404960 = 2551907140333
BaseRepresentation
bin100111111000001011…
…010000001001100000
311002112002101100021101
4213320023100021200
51200143002424320
631400455004144
73044036302612
oct477013201140
9132462340241
1042818404960
1117182967441
12836b969654
134064c54bc6
142102a22db2
1511a9159c0a
hex9f82d0260

42818404960 has 48 divisors (see below), whose sum is σ = 101212248816. Its totient is φ = 17118258688.

The previous prime is 42818404931. The next prime is 42818404969. The reversal of 42818404960 is 6940481824.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42818404960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42818404969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234954 + ... + 375286.

It is an arithmetic number, because the mean of its divisors is an integer number (2108588517).

Almost surely, 242818404960 is an apocalyptic number.

42818404960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42818404960 is an abundant number, since it is smaller than the sum of its proper divisors (58393843856).

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

42818404960 is a wasteful number, since it uses less digits than its factorization.

42818404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142255 (or 142247 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 42818404960 in words is "forty-two billion, eight hundred eighteen million, four hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1907 3814 7628 9535 15256 19070 30512 38140 61024 76280 140333 152560 280666 305120 561332 701665 1122664 1403330 2245328 2806660 4490656 5613320 11226640 22453280 267615031 535230062 1070460124 1338075155 2140920248 2676150310 4281840496 5352300620 8563680992 10704601240 21409202480 42818404960