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380611250640 = 243257128326309
BaseRepresentation
bin1011000100111100011…
…00101100100111010000
31100101102110012211222200
411202132030230213100
522213442440010030
6450503404003200
736332621151645
oct5423614544720
91311373184880
10380611250640
11137464145aa5
1261921b30500
1329b7879b19a
14145c9151dcc
159d7966dd60
hex589e32c9d0

380611250640 has 240 divisors, whose sum is σ = 1300852275840. Its totient is φ = 99709424640.

The previous prime is 380611250611. The next prime is 380611250641. The reversal of 380611250640 is 46052116083.

It is a happy number.

380611250640 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 1 + 1 + 2 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3806112506402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 380611250595 and 380611250604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380611250641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14453806 + ... + 14480114.

It is an arithmetic number, because the mean of its divisors is an integer number (5420217816).

Almost surely, 2380611250640 is an apocalyptic number.

380611250640 is a gapful number since it is divisible by the number (30) 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 380611250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650426137920).

380611250640 is an abundant number, since it is smaller than the sum of its proper divisors (920241025200).

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

380611250640 is a wasteful number, since it uses less digits than its factorization.

380611250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26682 (or 26673 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 380611250640 in words is "three hundred eighty billion, six hundred eleven million, two hundred fifty thousand, six hundred forty".