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152770707648 = 263213131155741
BaseRepresentation
bin1000111001000111011…
…0000000000011000000
3112121022212001001020100
42032101312000003000
510000333300121043
6154103142242400
714015541406056
oct2162166000300
9477285031210
10152770707648
1159876099889
1225736726400
13115385c1840
14757374c1d6
153e91e7ecd3
hex2391d800c0

152770707648 has 168 divisors, whose sum is σ = 475176317616. Its totient is φ = 46647244800.

The previous prime is 152770707647. The next prime is 152770707701. The reversal of 152770707648 is 846707077251.

152770707648 is a `hidden beast` number, since 1 + 527 + 7 + 0 + 7 + 0 + 76 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152770707594 and 152770707603.

It is not an unprimeable number, because it can be changed into a prime (152770707641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 903058 + ... + 1058798.

It is an arithmetic number, because the mean of its divisors is an integer number (2828430462).

Almost surely, 2152770707648 is an apocalyptic number.

152770707648 is a gapful number since it is divisible by the number (18) 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 152770707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237588158808).

152770707648 is an abundant number, since it is smaller than the sum of its proper divisors (322405609968).

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

152770707648 is a wasteful number, since it uses less digits than its factorization.

152770707648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155903 (or 155890 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 152770707648 in words is "one hundred fifty-two billion, seven hundred seventy million, seven hundred seven thousand, six hundred forty-eight".