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42606666432 = 2632111719109191
BaseRepresentation
bin100111101011100011…
…100010001011000000
311001222022221220121200
4213223203202023000
51144224301311212
631323452421200
73035555455251
oct475343421300
9131868856550
1042606666432
1117084397120
128310a77800
13403011a935
1420c2866b28
1511957826dc
hex9eb8e22c0

42606666432 has 672 divisors, whose sum is σ = 150634598400. Its totient is φ = 11346739200.

The previous prime is 42606666409. The next prime is 42606666433. The reversal of 42606666432 is 23466660624.

It is a super-2 number, since 2×426066664322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42606666433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223071457 + ... + 223071647.

Almost surely, 242606666432 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 42606666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75317299200).

42606666432 is an abundant number, since it is smaller than the sum of its proper divisors (108027931968).

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

42606666432 is a wasteful number, since it uses less digits than its factorization.

42606666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 42606666432 in words is "forty-two billion, six hundred six million, six hundred sixty-six thousand, four hundred thirty-two".