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42606939648 = 293713319833
BaseRepresentation
bin100111101011100100…
…100100111000000000
311001222100110210101210
4213223210210320000
51144224334032043
631323502330120
73035561003640
oct475344447000
9131870423353
1042606939648
1117084563419
128310b89940
1340301b50c0
1420c28d8520
1511957d8633
hex9eb924e00

42606939648 has 320 divisors, whose sum is σ = 144222769152. Its totient is φ = 10873405440.

The previous prime is 42606939629. The next prime is 42606939649. The reversal of 42606939648 is 84693960624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42606939649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4328140 + ... + 4337972.

Almost surely, 242606939648 is an apocalyptic number.

42606939648 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 42606939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72111384576).

42606939648 is an abundant number, since it is smaller than the sum of its proper divisors (101615829504).

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

42606939648 is a wasteful number, since it uses less digits than its factorization.

42606939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 42606939648 in words is "forty-two billion, six hundred six million, nine hundred thirty-nine thousand, six hundred forty-eight".