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42601034720 = 255723736791
BaseRepresentation
bin100111101011001110…
…000011001111100000
311001221221100210100202
4213223032003033200
51144221331102340
631323132004332
73035456551256
oct475316031740
9131857323322
1042601034720
111708119aa12
12830b0006a8
13402bbc846a
1420c1bdc5d6
15119501dc15
hex9eb3833e0

42601034720 has 48 divisors (see below), whose sum is σ = 100661587488. Its totient is φ = 17037596160.

The previous prime is 42601034669. The next prime is 42601034731. The reversal of 42601034720 is 2743010624.

42601034720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1139525 + ... + 1176315.

It is an arithmetic number, because the mean of its divisors is an integer number (2097116406).

Almost surely, 242601034720 is an apocalyptic number.

42601034720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42601034720 is an abundant number, since it is smaller than the sum of its proper divisors (58060552768).

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

42601034720 is a wasteful number, since it uses less digits than its factorization.

42601034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44043 (or 44035 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 42601034720 in words is "forty-two billion, six hundred one million, thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 7237 14474 28948 36185 36791 57896 72370 73582 115792 144740 147164 183955 231584 289480 294328 367910 578960 588656 735820 1157920 1177312 1471640 2943280 5886560 266256467 532512934 1065025868 1331282335 2130051736 2662564670 4260103472 5325129340 8520206944 10650258680 21300517360 42601034720