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380966270976 = 211352383401
BaseRepresentation
bin1011000101100110101…
…10111111100000000000
31100102100012020202100000
411202303112333200000
522220204331132401
6451002525200000
736344461605444
oct5426326774000
91312305222300
10380966270976
1113762658a035
1261a00a00000
1329c041c14a5
1414620368824
159d9a8ea186
hex58b35bf800

380966270976 has 576 divisors, whose sum is σ = 1208013730560. Its totient is φ = 119704780800.

The previous prime is 380966270939. The next prime is 380966270981. The reversal of 380966270976 is 679072669083.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950040376 + ... + 950040776.

It is an arithmetic number, because the mean of its divisors is an integer number (2097246060).

Almost surely, 2380966270976 is an apocalyptic number.

380966270976 is a gapful number since it is divisible by the number (36) 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 380966270976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604006865280).

380966270976 is an abundant number, since it is smaller than the sum of its proper divisors (827047459584).

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

380966270976 is an equidigital number, since it uses as much as digits as its factorization.

380966270976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 380966270976 in words is "three hundred eighty billion, nine hundred sixty-six million, two hundred seventy thousand, nine hundred seventy-six".