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42988708595712 = 211311907701299
BaseRepresentation
bin10011100011001000101101…
…01101001000100000000000
312122012200101000102111222210
421301210112231020200000
521113311333400030322
6231232423505502120
712024555162665565
oct1161442655104000
9178180330374883
1042988708595712
111277445531a670
1249a35bb641940
131acaa829c1849
14a8894392886c
154e837d00e70c
hex271916b48800

42988708595712 has 192 divisors, whose sum is σ = 125165555424000. Its totient is φ = 13012500234240.

The previous prime is 42988708595689. The next prime is 42988708595731. The reversal of 42988708595712 is 21759580788924.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×429887085957123 (a number of 42 digits) contains 333 as substring.

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, 60948039 + ... + 61649337.

It is an arithmetic number, because the mean of its divisors is an integer number (651903934500).

Almost surely, 242988708595712 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 42988708595712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62582777712000).

42988708595712 is an abundant number, since it is smaller than the sum of its proper divisors (82176846828288).

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

42988708595712 is a wasteful number, since it uses less digits than its factorization.

42988708595712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702242 (or 702222 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 75.

The spelling of 42988708595712 in words is "forty-two trillion, nine hundred eighty-eight billion, seven hundred eight million, five hundred ninety-five thousand, seven hundred twelve".