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20830642944 = 2832331109349
BaseRepresentation
bin10011011001100110…
…100110001100000000
31222202201112022011020
4103121212212030000
5320130121033234
613323000545440
71335126354306
oct233146461400
958681468136
1020830642944
11891a39a3a1
124054182280
131c6c7c9337
14101874a276
1581db47549
hex4d99a6300

20830642944 has 288 divisors, whose sum is σ = 60436992000. Its totient is φ = 6350192640.

The previous prime is 20830642939. The next prime is 20830642961. The reversal of 20830642944 is 44924603802.

It is a junction number, because it is equal to n+sod(n) for n = 20830642896 and 20830642905.

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, 59686482 + ... + 59686830.

Almost surely, 220830642944 is an apocalyptic number.

20830642944 is a gapful number since it is divisible by the number (24) 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 20830642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30218496000).

20830642944 is an abundant number, since it is smaller than the sum of its proper divisors (39606349056).

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

20830642944 is a wasteful number, since it uses less digits than its factorization.

20830642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 20830642944 in words is "twenty billion, eight hundred thirty million, six hundred forty-two thousand, nine hundred forty-four".