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42461202888 = 233313192334603
BaseRepresentation
bin100111100010111000…
…101000100111001000
311001121012020121011000
4213202320220213020
51143430031443023
631301214535000
73032141161266
oct474270504710
9131535217130
1042461202888
111700a273215
128290207460
134008c49830
1420ab3dd436
151187aec243
hex9e2e289c8

42461202888 has 256 divisors, whose sum is σ = 139523328000. Its totient is φ = 11838866688.

The previous prime is 42461202877. The next prime is 42461202937. The reversal of 42461202888 is 88820216424.

42461202888 is a `hidden beast` number, since 4 + 2 + 4 + 612 + 0 + 28 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209795 + ... + 1244397.

It is an arithmetic number, because the mean of its divisors is an integer number (545013000).

Almost surely, 242461202888 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 42461202888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69761664000).

42461202888 is an abundant number, since it is smaller than the sum of its proper divisors (97062125112).

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

42461202888 is a wasteful number, since it uses less digits than its factorization.

42461202888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34673 (or 34663 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 42461202888 in words is "forty-two billion, four hundred sixty-one million, two hundred two thousand, eight hundred eighty-eight".