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19838992893440 = 295737106128201
BaseRepresentation
bin1001000001011001000000…
…00111111100011000000000
32121020120220112012001011212
410200230200013330120000
510100020224140042230
6110105524005025252
74115214511135640
oct440544007743000
977216815161155
1019838992893440
116359740317906
122284b1a6b5228
13b0ba694bc396
144c82d8aaa520
152460cecb1895
hex120b201fc600

19838992893440 has 320 divisors, whose sum is σ = 55886240158848. Its totient is φ = 6611632128000.

The previous prime is 19838992893431. The next prime is 19838992893451. The reversal of 19838992893440 is 4439829983891.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703471340 + ... + 703499540.

Almost surely, 219838992893440 is an apocalyptic number.

19838992893440 is a gapful number since it is divisible by the number (10) 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 19838992893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27943120079424).

19838992893440 is an abundant number, since it is smaller than the sum of its proper divisors (36047247265408).

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

19838992893440 is a wasteful number, since it uses less digits than its factorization.

19838992893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29329 (or 29313 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 77.

The spelling of 19838992893440 in words is "nineteen trillion, eight hundred thirty-eight billion, nine hundred ninety-two million, eight hundred ninety-three thousand, four hundred forty".