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42471607024 = 2471170948623
BaseRepresentation
bin100111100011100000…
…010100101011110000
311001121220211011221101
4213203200110223300
51143440212411044
631302225534144
73032325463120
oct474340245360
9131556734841
1042471607024
1117015129a80
1282937a4354
13400b150322
1420ac94ac80
1511889a4cd4
hex9e3814af0

42471607024 has 80 divisors (see below), whose sum is σ = 102740567040. Its totient is φ = 16523700480.

The previous prime is 42471607019. The next prime is 42471607069. The reversal of 42471607024 is 42070617424.

It is a super-2 number, since 2×424716070242 (a number of 22 digits) contains 22 as substring.

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, 849177 + ... + 897799.

It is an arithmetic number, because the mean of its divisors is an integer number (1284257088).

Almost surely, 242471607024 is an apocalyptic number.

42471607024 is a gapful number since it is divisible by the number (44) 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 42471607024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51370283520).

42471607024 is an abundant number, since it is smaller than the sum of its proper divisors (60268960016).

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

42471607024 is a wasteful number, since it uses less digits than its factorization.

42471607024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49358 (or 49352 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 42471607024 in words is "forty-two billion, four hundred seventy-one million, six hundred seven thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 709 1232 1418 2836 4963 5672 7799 9926 11344 15598 19852 31196 39704 48623 54593 62392 79408 97246 109186 124784 194492 218372 340361 388984 436744 534853 680722 777968 873488 1069706 1361444 2139412 2722888 3743971 4278824 5445776 7487942 8557648 14975884 29951768 34473707 59903536 68947414 137894828 241315949 275789656 379210777 482631898 551579312 758421554 965263796 1516843108 1930527592 2654475439 3033686216 3861055184 5308950878 6067372432 10617901756 21235803512 42471607024