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381169180672 = 213748713649
BaseRepresentation
bin1011000101111110111…
…01000010000000000000
31100102212100001122002221
411202333131002000000
522221113302240142
6451035014220424
736352504402060
oct5427735020000
91312770048087
10381169180672
1113772007a0a5
1261a58954714
1329c37256cb7
141463d2a73a0
159dad62b767
hex58bf742000

381169180672 has 112 divisors (see below), whose sum is σ = 873043516800. Its totient is φ = 163010838528.

The previous prime is 381169180657. The next prime is 381169180699. The reversal of 381169180672 is 276081961183.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27919704 + ... + 27933352.

It is an arithmetic number, because the mean of its divisors is an integer number (7795031400).

Almost surely, 2381169180672 is an apocalyptic number.

381169180672 is a gapful number since it is divisible by the number (32) 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 381169180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436521758400).

381169180672 is an abundant number, since it is smaller than the sum of its proper divisors (491874336128).

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

381169180672 is an equidigital number, since it uses as much as digits as its factorization.

381169180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14169 (or 14145 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 381169180672 in words is "three hundred eighty-one billion, one hundred sixty-nine million, one hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 487 512 896 974 1024 1792 1948 2048 3409 3584 3896 4096 6818 7168 7792 8192 13636 13649 14336 15584 27272 27298 28672 31168 54544 54596 57344 62336 95543 109088 109192 124672 191086 218176 218384 249344 382172 436352 436768 498688 764344 872704 873536 997376 1528688 1745408 1747072 1994752 3057376 3490816 3494144 3989504 6114752 6647063 6981632 6988288 12229504 13294126 13963264 13976576 24459008 26588252 27926528 27953152 46529441 48918016 53176504 55906304 93058882 97836032 106353008 111812608 186117764 195672064 212706016 372235528 391344128 425412032 744471056 782688256 850824064 1488942112 1701648128 2977884224 3403296256 5955768448 6806592512 11911536896 13613185024 23823073792 27226370048 47646147584 54452740096 95292295168 190584590336 381169180672