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42656119056 = 24322332034021
BaseRepresentation
bin100111101110100000…
…001011100100010000
311002002210000100212100
4213232200023210100
51144324431302211
631332420400400
73040026013065
oct475640134420
9132083010770
1042656119056
11170aa2a3661
128325546100
13403a443b45
1420c925ac6c
151199ca0156
hex9ee80b910

42656119056 has 120 divisors (see below), whose sum is σ = 124638111936. Its totient is φ = 13592874240.

The previous prime is 42656119049. The next prime is 42656119061. The reversal of 42656119056 is 65091165624.

42656119056 is a `hidden beast` number, since 4 + 26 + 5 + 611 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×426561190562 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10606326 + ... + 10610346.

Almost surely, 242656119056 is an apocalyptic number.

42656119056 is a gapful number since it is divisible by the number (46) 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 42656119056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62319055968).

42656119056 is an abundant number, since it is smaller than the sum of its proper divisors (81981992880).

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

42656119056 is a wasteful number, since it uses less digits than its factorization.

42656119056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42656119056 in words is "forty-two billion, six hundred fifty-six million, one hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3203 3312 4021 6406 8042 9609 12063 12812 16084 19218 24126 25624 28827 32168 36189 38436 48252 51248 57654 64336 72378 73669 76872 92483 96504 115308 144756 147338 153744 184966 193008 221007 230616 277449 289512 294676 369932 442014 461232 554898 579024 589352 663021 739864 832347 884028 1109796 1178704 1326042 1479728 1664694 1768056 2219592 2652084 3329388 3536112 4439184 5304168 6658776 10608336 12879263 13317552 25758526 38637789 51517052 77275578 103034104 115913367 154551156 206068208 231826734 296223049 309102312 463653468 592446098 618204624 888669147 927306936 1184892196 1777338294 1854613872 2369784392 2666007441 3554676588 4739568784 5332014882 7109353176 10664029764 14218706352 21328059528 42656119056