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380461250244096 = 2933721735132371
BaseRepresentation
bin101011010000001110000100…
…1101010111110111000000000
31211220002201222200111202201000
41112200130021222332320000
5344331434120030302341
63425101252510212000
7143065263312156600
oct12640341152767000
91756081880452630
10380461250244096
1110025478a1819aa
1236807b32ab4000
131343a45a369248
1469d45cc0d0c00
152deba0c0568b6
hex15a0709abee00

380461250244096 has 480 divisors, whose sum is σ = 1310175733743360. Its totient is φ = 108693591552000.

The previous prime is 380461250244059. The next prime is 380461250244157. The reversal of 380461250244096 is 690442052164083.

380461250244096 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 6 + 1 + 2 + 502 + 4 + 40 + 96 = 666.

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

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, 11753134791 + ... + 11753167161.

It is an arithmetic number, because the mean of its divisors is an integer number (2729532778632).

Almost surely, 2380461250244096 is an apocalyptic number.

380461250244096 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 380461250244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655087866871680).

380461250244096 is an abundant number, since it is smaller than the sum of its proper divisors (929714483499264).

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

380461250244096 is a wasteful number, since it uses less digits than its factorization.

380461250244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49763 (or 49734 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 380461250244096 in words is "three hundred eighty trillion, four hundred sixty-one billion, two hundred fifty million, two hundred forty-four thousand, ninety-six".