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20917615722084 = 2232172448392
BaseRepresentation
bin1001100000110010000110…
…00011011111111001100100
32202001201000121022222201100
410300121003003133321210
510220203234111101314
6112253230415400100
74256151005663514
oct460310303377144
982051017288640
1020917615722084
116735124832634
122419b83223030
13b896a44a5023
145245bcddd844
152641adb60c09
hex1306430dfe64

20917615722084 has 81 divisors (see below), whose sum is σ = 56169594720057. Its totient is φ = 6562242891648.

The previous prime is 20917615722037. The next prime is 20917615722137. The reversal of 20917615722084 is 48022751671902.

The square root of 20917615722084 is 4573578.

It is a perfect power (a square), and thus also a powerful number.

20917615722084 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 7 + 61 + 572 + 2 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16285340960100 + 4632274761984 = 4035510^2 + 2152272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20917615722084.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 466482537 + ... + 466527375.

Almost surely, 220917615722084 is an apocalyptic number.

20917615722084 is the 4573578-th square number.

It is an amenable number.

20917615722084 is an abundant number, since it is smaller than the sum of its proper divisors (35251978997973).

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

20917615722084 is an frugal number, since it uses more digits than its factorization.

20917615722084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89722 (or 44861 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 20917615722084 in words is "twenty trillion, nine hundred seventeen billion, six hundred fifteen million, seven hundred twenty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 44839 89678 134517 179356 269034 403551 538068 762263 807102 1524526 1614204 2286789 3049052 4573578 6860367 9147156 12958471 13720734 25916942 27441468 38875413 51833884 77750826 116626239 155501652 233252478 466504956 2010535921 4021071842 6031607763 8042143684 12063215526 18094823289 24126431052 34179110657 36189646578 68358221314 72379293156 102537331971 136716442628 205074663942 307611995913 410149327884 581044881169 615223991826 1162089762338 1230447983652 1743134643507 2324179524676 3486269287014 5229403930521 6972538574028 10458807861042 20917615722084