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42620040000 = 263354193167
BaseRepresentation
bin100111101100010110…
…100011001101000000
311002000021010100201000
4213230112203031000
51144241212240000
631325051212000
73036110235246
oct475426431500
9132007110630
1042620040000
11170909a095a
128315447000
134032b20ba5
1420c4548796
151196a25000
hex9ec5a3340

42620040000 has 1120 divisors, whose sum is σ = 172664729600. Its totient is φ = 10264320000.

The previous prime is 42620039977. The next prime is 42620040007. The reversal of 42620040000 is 4002624.

42620040000 is a `hidden beast` number, since 4 + 2 + 620 + 0 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42620040007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 636119967 + ... + 636120033.

Almost surely, 242620040000 is an apocalyptic number.

42620040000 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 42620040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86332364800).

42620040000 is an abundant number, since it is smaller than the sum of its proper divisors (130044689600).

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

42620040000 is a wasteful number, since it uses less digits than its factorization.

42620040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42620040000 its reverse (4002624), we get a palindrome (42624042624).

The spelling of 42620040000 in words is "forty-two billion, six hundred twenty million, forty thousand".