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20011770972 = 223229129714779
BaseRepresentation
bin10010101000110010…
…110110010001011100
31220122122200021222200
4102220302312101130
5311441003132342
613105425411500
71305624150414
oct225062662134
956578607880
1020011770972
11853a1397a6
123a65a99b90
131b6bc695cb
14d7baab644
157c1ce394c
hex4a8cb645c

20011770972 has 72 divisors (see below), whose sum is σ = 52373521200. Its totient is φ = 6435168768.

The previous prime is 20011770953. The next prime is 20011770973. The reversal of 20011770972 is 27907711002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011770973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346679 + ... + 1361457.

Almost surely, 220011770972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011770972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26186760600).

20011770972 is an abundant number, since it is smaller than the sum of its proper divisors (32361750228).

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

20011770972 is a wasteful number, since it uses less digits than its factorization.

20011770972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16115 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 20011770972 in words is "twenty billion, eleven million, seven hundred seventy thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1297 2594 3891 5188 7782 11673 14779 15564 23346 29558 37613 44337 46692 59116 75226 88674 112839 133011 150452 177348 225678 266022 338517 428591 451356 532044 677034 857182 1285773 1354068 1714364 2571546 3857319 5143092 7714638 15429276 19168363 38336726 57505089 76673452 115010178 172515267 230020356 345030534 555882527 690061068 1111765054 1667647581 2223530108 3335295162 5002942743 6670590324 10005885486 20011770972