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42534654000 = 2435319438677
BaseRepresentation
bin100111100111010000…
…110101000000110000
311001210022110022010120
4213213100311000300
51144102332412000
631312401130240
73034022410416
oct474720650060
9131708408116
1042534654000
1117047781113
1282b0929980
13401b226127
1420b707d2b6
15118e2aa6a0
hex9e7435030

42534654000 has 320 divisors, whose sum is σ = 147723164160. Its totient is φ = 10494489600.

The previous prime is 42534653969. The next prime is 42534654011. The reversal of 42534654000 is 45643524.

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, 4897662 + ... + 4906338.

It is an arithmetic number, because the mean of its divisors is an integer number (461634888).

Almost surely, 242534654000 is an apocalyptic number.

42534654000 is a gapful number since it is divisible by the number (40) 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 42534654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73861582080).

42534654000 is an abundant number, since it is smaller than the sum of its proper divisors (105188510160).

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

42534654000 is a wasteful number, since it uses less digits than its factorization.

42534654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 42534654000 in words is "forty-two billion, five hundred thirty-four million, six hundred fifty-four thousand".