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20411954082 = 232131075991361
BaseRepresentation
bin10011000000101001…
…011011001110100010
31221200112200201000100
4103000221123032202
5313300430012312
613213243003230
71321553514132
oct230051331642
957615621010
1020411954082
11872501a243
123b57b09516
131c03b43350
14db8cbcac2
157e6ee15dc
hex4c0a5b3a2

20411954082 has 96 divisors (see below), whose sum is σ = 48188649600. Its totient is φ = 6206952960.

The previous prime is 20411954063. The next prime is 20411954083. The reversal of 20411954082 is 28045911402.

20411954082 is a `hidden beast` number, since 20 + 4 + 1 + 19 + 540 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (20411954083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14997082 + ... + 14998442.

It is an arithmetic number, because the mean of its divisors is an integer number (501965100).

Almost surely, 220411954082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20411954082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24094324800).

20411954082 is an abundant number, since it is smaller than the sum of its proper divisors (27776695518).

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

20411954082 is a wasteful number, since it uses less digits than its factorization.

20411954082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20411954082 in words is "twenty billion, four hundred eleven million, nine hundred fifty-four thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 599 642 963 1198 1361 1391 1797 1926 2722 2782 3594 4083 4173 5391 7787 8166 8346 10782 12249 12519 15574 17693 23361 24498 25038 35386 46722 53079 64093 70083 106158 128186 140166 145627 159237 192279 291254 318474 384558 436881 576837 815239 833209 873762 1153674 1310643 1630478 1666418 1893151 2445717 2499627 2621286 3786302 4891434 4999254 5679453 7337151 7498881 10598107 11358906 14674302 14997762 17038359 21196214 31794321 34076718 63588642 87230573 95382963 174461146 190765926 261691719 523383438 785075157 1133997449 1570150314 2267994898 3401992347 6803984694 10205977041 20411954082