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139819097376 = 253672293739
BaseRepresentation
bin1000001000110111011…
…1100001110100100000
3111100220020022002000000
42002031313201310200
54242322142104001
6144122040300000
713046563501260
oct2021567416440
9440806262000
10139819097376
115432a265342
1223121171600
131025326331a
146aa55bb7a0
153984ddaa86
hex208dde1d20

139819097376 has 336 divisors, whose sum is σ = 473860094400. Its totient is φ = 39763229184.

The previous prime is 139819097357. The next prime is 139819097419. The reversal of 139819097376 is 673790918931.

139819097376 is a `hidden beast` number, since 1 + 3 + 98 + 1 + 90 + 97 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37392915 + ... + 37396653.

It is an arithmetic number, because the mean of its divisors is an integer number (1410297900).

Almost surely, 2139819097376 is an apocalyptic number.

139819097376 is a gapful number since it is divisible by the number (16) 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 139819097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236930047200).

139819097376 is an abundant number, since it is smaller than the sum of its proper divisors (334040997024).

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

139819097376 is an equidigital number, since it uses as much as digits as its factorization.

139819097376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 139819097376 in words is "one hundred thirty-nine billion, eight hundred nineteen million, ninety-seven thousand, three hundred seventy-six".