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380202897168 = 24351747122389
BaseRepresentation
bin1011000100001011101…
…10111100111100010000
31100100100222211100100000
411202011312330330100
522212123420202133
6450355055330000
736316532206023
oct5420566747420
91310328740300
10380202897168
11137274694a96
1261829220900
1329b11cc3603
141458ac151ba
159d538aa413
hex5885dbcf10

380202897168 has 240 divisors, whose sum is σ = 1193226128640. Its totient is φ = 116740528128.

The previous prime is 380202897127. The next prime is 380202897271. The reversal of 380202897168 is 861798202083.

It is a happy number.

380202897168 is a `hidden beast` number, since 380 + 20 + 2 + 89 + 7 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3045318 + ... + 3167706.

It is an arithmetic number, because the mean of its divisors is an integer number (4971775536).

Almost surely, 2380202897168 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 380202897168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596613064320).

380202897168 is an abundant number, since it is smaller than the sum of its proper divisors (813023231472).

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

380202897168 is a wasteful number, since it uses less digits than its factorization.

380202897168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122476 (or 122458 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 380202897168 in words is "three hundred eighty billion, two hundred two million, eight hundred ninety-seven thousand, one hundred sixty-eight".