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42700946568 = 23379713032011
BaseRepresentation
bin100111110001001011…
…001011110010001000
311002012220100211122120
4213301023023302020
51144422420242233
631341101251240
73041112025410
oct476113136210
9132186324576
1042700946568
1117122631195
128338563b20
13404680aab7
1420d11a9640
15119dba74b3
hex9f12cbc88

42700946568 has 128 divisors (see below), whose sum is σ = 123416401920. Its totient is φ = 12059228160.

The previous prime is 42700946531. The next prime is 42700946657. The reversal of 42700946568 is 86564900724.

It is a self number, because there is not a number n which added to its sum of digits gives 42700946568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21232683 + ... + 21234693.

It is an arithmetic number, because the mean of its divisors is an integer number (964190640).

Almost surely, 242700946568 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 42700946568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61708200960).

42700946568 is an abundant number, since it is smaller than the sum of its proper divisors (80715455352).

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

42700946568 is a wasteful number, since it uses less digits than its factorization.

42700946568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 42700946568 in words is "forty-two billion, seven hundred million, nine hundred forty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1303 1358 2011 2037 2328 2606 2716 3909 4022 4074 5212 5432 6033 7818 8044 8148 9121 10424 12066 14077 15636 16088 16296 18242 24132 27363 28154 31272 36484 42231 48264 54726 56308 72968 84462 109452 112616 126391 168924 195067 218904 252782 337848 379173 390134 505564 585201 758346 780268 884737 1011128 1170402 1365469 1516692 1560536 1769474 2340804 2620333 2654211 2730938 3033384 3538948 4096407 4681608 5240666 5308422 5461876 7077896 7860999 8192814 10481332 10616844 10923752 15721998 16385628 18342331 20962664 21233688 31443996 32771256 36684662 55026993 62887992 73369324 110053986 146738648 220107972 254172301 440215944 508344602 762516903 1016689204 1525033806 1779206107 2033378408 3050067612 3558412214 5337618321 6100135224 7116824428 10675236642 14233648856 21350473284 42700946568