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20312630441632 = 253753323696941
BaseRepresentation
bin1001001111001011001110…
…00111110011011010100000
32122220212110010210110002101
410213211213013303122200
510130300231343113012
6111111254341300144
74164352626645244
oct447454707633240
978825403713071
1020312630441632
1165215a1376051
122340882a04654
13b4461ba70a39
145031caa0a424
152535a12e7d57
hex1279671f36a0

20312630441632 has 48 divisors (see below), whose sum is σ = 41846245873992. Its totient is φ = 9695370746880.

The previous prime is 20312630441573. The next prime is 20312630441633. The reversal of 20312630441632 is 23614403621302.

It can be written as a sum of positive squares in 4 ways, for example, as 20064343496976 + 248286944656 = 4479324^2 + 498284^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 20312630441591 and 20312630441600.

It is not an unprimeable number, because it can be changed into a prime (20312630441633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161785719 + ... + 161911222.

Almost surely, 220312630441632 is an apocalyptic number.

It is an amenable number.

20312630441632 is an abundant number, since it is smaller than the sum of its proper divisors (21533615432360).

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

20312630441632 is a wasteful number, since it uses less digits than its factorization.

20312630441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323697041 (or 323697033 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 20312630441632 in words is "twenty trillion, three hundred twelve billion, six hundred thirty million, four hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1184 1696 1961 3922 7844 15688 31376 62752 323696941 647393882 1294787764 2589575528 5179151056 10358302112 11976786817 17155937873 23953573634 34311875746 47907147268 68623751492 95814294536 137247502984 191628589072 274495005968 383257178144 548990011936 634769701301 1269539402602 2539078805204 5078157610408 10156315220816 20312630441632