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20201001984 = 210322191949
BaseRepresentation
bin10010110100000100…
…101101010000000000
31221010211202020010200
4102310010231100000
5312332424030414
613140305325200
71313412453342
oct226404552000
957124666120
1020201001984
118626a36869
123ab9336800
131b9c223017
14d98c89292
157d3722109
hex4b412d400

20201001984 has 66 divisors (see below), whose sum is σ = 58329981450. Its totient is φ = 6733664256.

The previous prime is 20201001983. The next prime is 20201002013. The reversal of 20201001984 is 48910010202.

It can be written as a sum of positive squares in only one way, i.e., 10650240000 + 9550761984 = 103200^2 + 97728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201001983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1086759 + ... + 1105190.

Almost surely, 220201001984 is an apocalyptic number.

20201001984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20201001984 is an abundant number, since it is smaller than the sum of its proper divisors (38128979466).

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

20201001984 is a wasteful number, since it uses less digits than its factorization.

20201001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191975 (or 2191954 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 2020100 and 1984, that added together give a square (2022084 = 14222).

The spelling of 20201001984 in words is "twenty billion, two hundred one million, one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 2191949 4383898 6575847 8767796 13151694 17535592 19727541 26303388 35071184 39455082 52606776 70142368 78910164 105213552 140284736 157820328 210427104 280569472 315640656 420854208 561138944 631281312 841708416 1122277888 1262562624 1683416832 2244555776 2525125248 3366833664 5050250496 6733667328 10100500992 20201001984