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19428151639248 = 24331123161196549
BaseRepresentation
bin1000110101011011110000…
…00100111011110011010000
32112210022110021212220021000
410122231320010323303100
510021302323304423443
6105153100351102000
74043431465115562
oct432557004736320
975708407786230
1019428151639248
116210484122800
122219380811900
13aac0b3ac8341
144b2482b5b332
1523a5867348d3
hex11ab7813bcd0

19428151639248 has 480 divisors, whose sum is σ = 64311411584000. Its totient is φ = 5603976576000.

The previous prime is 19428151639157. The next prime is 19428151639261. The reversal of 19428151639248 is 84293615182491.

19428151639248 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 81 + 516 + 39 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×194281516392482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98748078 + ... + 98944626.

Almost surely, 219428151639248 is an apocalyptic number.

19428151639248 is a gapful number since it is divisible by the number (18) 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 19428151639248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32155705792000).

19428151639248 is an abundant number, since it is smaller than the sum of its proper divisors (44883259944752).

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

19428151639248 is a wasteful number, since it uses less digits than its factorization.

19428151639248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196680 (or 196657 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 19428151639248 in words is "nineteen trillion, four hundred twenty-eight billion, one hundred fifty-one million, six hundred thirty-nine thousand, two hundred forty-eight".