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380442634650 = 23552132414519
BaseRepresentation
bin1011000100101000010…
…01011110100110011010
31100100222200221021100000
411202110021132212122
522213121303302100
6450434541553430
736325503016101
oct5422411364632
91310880837300
10380442634650
11137387a49341
1261895575876
1329b4c881b00
14145b09bd038
159d69963900
hex589425e99a

380442634650 has 432 divisors, whose sum is σ = 1176042853440. Its totient is φ = 91343116800.

The previous prime is 380442634591. The next prime is 380442634651. The reversal of 380442634650 is 56436244083.

380442634650 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 4 + 2 + 634 + 6 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 380442634596 and 380442634605.

It is not an unprimeable number, because it can be changed into a prime (380442634651) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84185091 + ... + 84189609.

It is an arithmetic number, because the mean of its divisors is an integer number (2722321420).

Almost surely, 2380442634650 is an apocalyptic number.

380442634650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380442634650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588021426720).

380442634650 is an abundant number, since it is smaller than the sum of its proper divisors (795600218790).

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

380442634650 is a wasteful number, since it uses less digits than its factorization.

380442634650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 380442634650 in words is "three hundred eighty billion, four hundred forty-two million, six hundred thirty-four thousand, six hundred fifty".