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20769776216 = 2372269431457
BaseRepresentation
bin10011010101111110…
…011010001001011000
31222121110222221200222
4103111332122021120
5320014030314331
613312544215212
71333460120300
oct232576321130
958543887628
1020769776216
118898aa7312
12403790a508
131c60007a17
141010624600
15818622b7b
hex4d5f9a258

20769776216 has 96 divisors (see below), whose sum is σ = 45675057600. Its totient is φ = 8828305920.

The previous prime is 20769776213. The next prime is 20769776219. The reversal of 20769776216 is 61267796702.

It is an interprime number because it is at equal distance from previous prime (20769776213) and next prime (20769776219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20769776213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45447860 + ... + 45448316.

It is an arithmetic number, because the mean of its divisors is an integer number (475781850).

Almost surely, 220769776216 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 20769776216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837528800).

20769776216 is an abundant number, since it is smaller than the sum of its proper divisors (24905281384).

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

20769776216 is a wasteful number, since it uses less digits than its factorization.

20769776216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 53.

The spelling of 20769776216 in words is "twenty billion, seven hundred sixty-nine million, seven hundred seventy-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 269 392 431 457 538 862 914 1076 1724 1828 1883 2152 3017 3199 3448 3656 3766 6034 6398 7532 12068 12796 13181 15064 21119 22393 24136 25592 26362 42238 44786 52724 84476 89572 105448 115939 122933 168952 179144 196967 231878 245866 393934 463756 491732 787868 811573 860531 927512 983464 1378769 1575736 1623146 1721062 2757538 3246292 3442124 5515076 5681011 6023717 6492584 6884248 9651383 11030152 11362022 12047434 19302766 22724044 24094868 38605532 45448088 48189736 52984123 77211064 105968246 211936492 370888861 423872984 741777722 1483555444 2596222027 2967110888 5192444054 10384888108 20769776216