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42256415620 = 225294310911553
BaseRepresentation
bin100111010110101011…
…011011101110000100
311001001220220022211101
4213112223123232010
51143020120244440
631225021345444
73024103414666
oct472653335604
9131056808741
1042256415620
1116a14710541
128233708284
133ca56a7533
14208c132536
151174b4969a
hex9d6adbb84

42256415620 has 96 divisors (see below), whose sum is σ = 94079905920. Its totient is φ = 15915325440.

The previous prime is 42256415447. The next prime is 42256415627. The reversal of 42256415620 is 2651465224.

It is a happy number.

It is a super-2 number, since 2×422564156202 (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 42256415620.

It is not an unprimeable number, because it can be changed into a prime (42256415627) 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, 27208764 + ... + 27210316.

It is an arithmetic number, because the mean of its divisors is an integer number (979999020).

Almost surely, 242256415620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42256415620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47039952960).

42256415620 is an abundant number, since it is smaller than the sum of its proper divisors (51823490300).

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

42256415620 is a wasteful number, since it uses less digits than its factorization.

42256415620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 42256415620 in words is "forty-two billion, two hundred fifty-six million, four hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1091 1247 1553 2182 2494 3106 4364 4988 5455 6212 6235 7765 10910 12470 15530 21820 24940 31060 31639 45037 46913 63278 66779 90074 93826 126556 133558 158195 180148 187652 225185 234565 267116 316390 333895 450370 469130 632780 667790 900740 938260 1335580 1360477 1694323 1936591 2720954 3388646 3873182 5441908 6777292 6802385 7746364 8471615 9682955 13604770 16943230 19365910 27209540 33886460 38731820 49135367 72855889 98270734 145711778 196541468 245676835 291423556 364279445 491353670 728558890 982707340 1457117780 2112820781 4225641562 8451283124 10564103905 21128207810 42256415620