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42712162920 = 2333575649757
BaseRepresentation
bin100111110001110101…
…111110001001101000
311002020200110200121000
4213301311332021220
51144433303203140
631342141515000
73041306252220
oct476165761150
9132220420530
1042712162920
11171289a21a9
128340272a60
134048c371ab
1420d2889080
15119eb70a30
hex9f1d7e268

42712162920 has 128 divisors (see below), whose sum is σ = 162713030400. Its totient is φ = 9762778368.

The previous prime is 42712162853. The next prime is 42712162921. The reversal of 42712162920 is 2926121724.

42712162920 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 2 + 1 + 629 + 20 = 666.

It is a super-2 number, since 2×427121629202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42712162921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2817319 + ... + 2832438.

It is an arithmetic number, because the mean of its divisors is an integer number (1271195550).

Almost surely, 242712162920 is an apocalyptic number.

42712162920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42712162920 is an abundant number, since it is smaller than the sum of its proper divisors (120000867480).

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

42712162920 is a wasteful number, since it uses less digits than its factorization.

42712162920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649784 (or 5649774 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42712162920 in words is "forty-two billion, seven hundred twelve million, one hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 5649757 11299514 16949271 22599028 28248785 33898542 39548299 45198056 50847813 56497570 67797084 79096598 84746355 101695626 112995140 118644897 135594168 152543439 158193196 169492710 197741495 203391252 225990280 237289794 254239065 305086878 316386392 338985420 355934691 395482990 406782504 474579588 508478130 593224485 610173756 677970840 711869382 762717195 790965980 949159176 1016956260 1067804073 1186448970 1220347512 1423738764 1525434390 1581931960 1779673455 2033912520 2135608146 2372897940 2847477528 3050868780 3559346910 4271216292 4745795880 5339020365 6101737560 7118693820 8542432584 10678040730 14237387640 21356081460 42712162920