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19029270348 = 2232111737241317
BaseRepresentation
bin10001101110001110…
…111001111101001100
31211010011221002111200
4101232032321331030
5302432443122343
612424131145500
71242364062204
oct215616717514
954104832450
1019029270348
118085588510
123830a45290
131a435485aa
14cc73d7404
1576591c4d3
hex46e3b9f4c

19029270348 has 288 divisors, whose sum is σ = 57480591168. Its totient is φ = 5242060800.

The previous prime is 19029270289. The next prime is 19029270389. The reversal of 19029270348 is 84307292091.

19029270348 is a `hidden beast` number, since 19 + 0 + 29 + 270 + 348 = 666.

It is a super-2 number, since 2×190292703482 (a number of 21 digits) contains 22 as substring.

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, 60029086 + ... + 60029402.

It is an arithmetic number, because the mean of its divisors is an integer number (199585386).

Almost surely, 219029270348 is an apocalyptic number.

19029270348 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 19029270348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740295584).

19029270348 is an abundant number, since it is smaller than the sum of its proper divisors (38451320820).

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

19029270348 is a wasteful number, since it uses less digits than its factorization.

19029270348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19029270348 in words is "nineteen billion, twenty-nine million, two hundred seventy thousand, three hundred forty-eight".