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20673244237602 = 23112371661946309
BaseRepresentation
bin1001011001101010111010…
…11000010000111100100010
32201012100020221021100100210
410230311131120100330202
510202202301011100402
6111545053550354550
74232410156434135
oct454653530207442
981170227240323
1020673244237602
116650523470400
12239a7437bba56
13b6c62b5459b8
14516839d3a21c
1525cb5a05006c
hex12cd5d610f22

20673244237602 has 96 divisors (see below), whose sum is σ = 46679079585600. Its totient is φ = 6094807044480.

The previous prime is 20673244237511. The next prime is 20673244237663.

It is a happy number.

20673244237602 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446396424 + ... + 446442732.

It is an arithmetic number, because the mean of its divisors is an integer number (486240412350).

Almost surely, 220673244237602 is an apocalyptic number.

20673244237602 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20673244237602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23339539792800).

20673244237602 is an abundant number, since it is smaller than the sum of its proper divisors (26005835347998).

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

20673244237602 is a wasteful number, since it uses less digits than its factorization.

20673244237602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62992 (or 62981 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 20673244237602 in words is "twenty trillion, six hundred seventy-three billion, two hundred forty-four million, two hundred thirty-seven thousand, six hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 4477 8954 13431 16619 26862 33238 46309 49857 92618 99714 138927 182809 277854 365618 509399 548427 614903 1018798 1096854 1229806 1528197 1713433 1844709 2010899 3056394 3426866 3689418 4021798 5140299 5603389 6032697 6763933 10280598 11206778 12065394 13527866 16810167 18847763 20291799 33620334 37695526 40583598 56543289 74403263 113086578 148806526 207325393 223209789 414650786 446419578 621976179 769609271 1243952358 1539218542 2308827813 4617655626 8465701981 16931403962 25397105943 28475543027 50794211886 56951086054 85426629081 93122721791 170853258162 186245443582 279368165373 313230973297 558736330746 626461946594 939692919891 1879385839782 3445540706267 6891081412534 10336622118801 20673244237602