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42250616632 = 23710736719213
BaseRepresentation
bin100111010110010101…
…010011111100111000
311001001111222201010001
4213112111103330320
51143012124213012
631224253202344
73024003213220
oct472625237470
9131044881101
1042250616632
1116a1140a694
1282317903b4
133ca4426b93
14208b463080
1511743a1357
hex9d6553f38

42250616632 has 64 divisors (see below), whose sum is σ = 91636945920. Its totient is φ = 17888370048.

The previous prime is 42250616623. The next prime is 42250616641. The reversal of 42250616632 is 23661605224.

It is an interprime number because it is at equal distance from previous prime (42250616623) and next prime (42250616641).

It is a super-2 number, since 2×422506166322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42250616591 and 42250616600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2189458 + ... + 2208670.

It is an arithmetic number, because the mean of its divisors is an integer number (1431827280).

Almost surely, 242250616632 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 42250616632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45818472960).

42250616632 is an abundant number, since it is smaller than the sum of its proper divisors (49386329288).

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

42250616632 is a wasteful number, since it uses less digits than its factorization.

42250616632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19700 (or 19696 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 42250616632 in words is "forty-two billion, two hundred fifty million, six hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 107 214 367 428 734 749 856 1468 1498 2569 2936 2996 5138 5992 10276 19213 20552 38426 39269 76852 78538 134491 153704 157076 268982 274883 314152 537964 549766 1075928 1099532 2055791 2199064 4111582 7051171 8223164 14102342 14390537 16446328 28204684 28781074 49358197 56409368 57562148 98716394 115124296 197432788 394865576 754475297 1508950594 3017901188 5281327079 6035802376 10562654158 21125308316 42250616632