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19972293120 = 293451331239
BaseRepresentation
bin10010100110011100…
…010000001000000000
31220112220101121120000
4102212130100020000
5311400401334440
613101455320000
71304634455553
oct224634201000
956486347500
1019972293120
11851992547a
123a54820000
131b63a26630
14d7675269a
157bd5e6730
hex4a6710200

19972293120 has 800 divisors, whose sum is σ = 79854888960. Its totient is φ = 4737761280.

The previous prime is 19972293097. The next prime is 19972293163. The reversal of 19972293120 is 2139227991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83565961 + ... + 83566199.

Almost surely, 219972293120 is an apocalyptic number.

19972293120 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 19972293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927444480).

19972293120 is an abundant number, since it is smaller than the sum of its proper divisors (59882595840).

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

19972293120 is a wasteful number, since it uses less digits than its factorization.

19972293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 19972293120 in words is "nineteen billion, nine hundred seventy-two million, two hundred ninety-three thousand, one hundred twenty".