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20528399680672 = 2513312512163367
BaseRepresentation
bin1001010101011101000111…
…11110001000010010100000
32200200111101110200110212011
410222232203332020102200
510142314130304240142
6111354341105042304
74216061611140142
oct452564376102240
980614343613764
1020528399680672
1165a5055499a04
12237665b626394
13b5ba870ab690
1450d819150c92
15258ecdd7e417
hex12aba3f884a0

20528399680672 has 96 divisors (see below), whose sum is σ = 44930657608704. Its totient is φ = 9168502579200.

The previous prime is 20528399680639. The next prime is 20528399680709. The reversal of 20528399680672 is 27608699382502.

It is a junction number, because it is equal to n+sod(n) for n = 20528399680598 and 20528399680607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323928733 + ... + 323992099.

It is an arithmetic number, because the mean of its divisors is an integer number (468027683424).

Almost surely, 220528399680672 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 20528399680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465328804352).

20528399680672 is an abundant number, since it is smaller than the sum of its proper divisors (24402257928032).

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

20528399680672 is a wasteful number, since it uses less digits than its factorization.

20528399680672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88542 (or 88534 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 20528399680672 in words is "twenty trillion, five hundred twenty-eight billion, three hundred ninety-nine million, six hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896 25121 50242 63367 100484 126734 200968 253468 326573 401936 506936 653146 778751 803872 823771 1013872 1306292 1557502 1647542 1964377 2027744 2612584 3115004 3295084 3928754 5225168 6230008 6590168 7857508 10123763 10450336 12460016 13180336 15715016 20247526 24920032 25536901 26360672 31430032 40495052 51073802 62860064 80990104 102147604 161980208 204295208 323960416 408590416 817180832 1591842407 3183684814 6367369628 12734739256 20693951291 25469478512 41387902582 49347114617 50938957024 82775805164 98694229234 165551610328 197388458468 331103220656 394776916936 641512490021 662206441312 789553833872 1283024980042 1579107667744 2566049960084 5132099920168 10264199840336 20528399680672