Search a number
-
+
20355141205332 = 223462824509893
BaseRepresentation
bin1001010000011010011001…
…11101011111110101010100
32200001221011210021222220000
410220031030331133311110
510131444312122032312
6111143004530411300
74200416242324653
oct450151475376524
980057153258800
1020355141205332
11653862660a00a
122348b67730b30
13b48635050a9b
145052a082b19a
1525473d434adc
hex12834cf5fd54

20355141205332 has 30 divisors (see below), whose sum is σ = 53212359880218. Its totient is φ = 6785047068336.

The previous prime is 20355141205319. The next prime is 20355141205361. The reversal of 20355141205332 is 23350214155302.

20355141205332 is a `hidden beast` number, since 2 + 0 + 3 + 551 + 4 + 1 + 20 + 53 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18054986781456 + 2300154423876 = 4249116^2 + 1516626^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31412254623 + ... + 31412255270.

Almost surely, 220355141205332 is an apocalyptic number.

It is an amenable number.

20355141205332 is an abundant number, since it is smaller than the sum of its proper divisors (32857218674886).

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

20355141205332 is a wasteful number, since it uses less digits than its factorization.

20355141205332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62824509909 (or 62824509898 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 20355141205332 in words is "twenty trillion, three hundred fifty-five billion, one hundred forty-one million, two hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 62824509893 125649019786 188473529679 251298039572 376947059358 565420589037 753894118716 1130841178074 1696261767111 2261682356148 3392523534222 5088785301333 6785047068444 10177570602666 20355141205332