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42859066848 = 25313137250673
BaseRepresentation
bin100111111010100110…
…010111010111100000
311002121220220011220020
4213322212113113200
51200233410114343
631404510313440
73045042025443
oct477246272740
9132556804806
1042859066848
11171a390a304
1283814b8880
1340704c0ab0
1421081a965a
1511ac9dcb83
hex9fa9975e0

42859066848 has 96 divisors (see below), whose sum is σ = 122044146336. Its totient is φ = 13091094528.

The previous prime is 42859066841. The next prime is 42859066871. The reversal of 42859066848 is 84866095824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×428590668482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42859066791 and 42859066800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42859066841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45640 + ... + 296312.

It is an arithmetic number, because the mean of its divisors is an integer number (1271293191).

Almost surely, 242859066848 is an apocalyptic number.

42859066848 is a gapful number since it is divisible by the number (48) 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 42859066848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61022073168).

42859066848 is an abundant number, since it is smaller than the sum of its proper divisors (79185079488).

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

42859066848 is a wasteful number, since it uses less digits than its factorization.

42859066848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250836 (or 250828 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 42859066848 in words is "forty-two billion, eight hundred fifty-nine million, sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 137 156 208 274 312 411 416 548 624 822 1096 1248 1644 1781 2192 3288 3562 4384 5343 6576 7124 10686 13152 14248 21372 28496 42744 56992 85488 170976 250673 501346 752019 1002692 1504038 2005384 3008076 3258749 4010768 6016152 6517498 8021536 9776247 12032304 13034996 19552494 24064608 26069992 34342201 39104988 52139984 68684402 78209976 103026603 104279968 137368804 156419952 206053206 274737608 312839904 412106412 446448613 549475216 824212824 892897226 1098950432 1339345839 1648425648 1785794452 2678691678 3296851296 3571588904 5357383356 7143177808 10714766712 14286355616 21429533424 42859066848