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20965922064 = 243429355213
BaseRepresentation
bin10011100001101010…
…101001010100010000
32000010011002012020000
4103201222221110100
5320414234001224
613344232250000
71341361253133
oct234152512420
960104065200
1020965922064
11898979761a
124091540900
131c91842959
14102c6c221a
1582a96a0c9
hex4e1aa9510

20965922064 has 100 divisors (see below), whose sum is σ = 60889667916. Its totient is φ = 6964662528.

The previous prime is 20965922063. The next prime is 20965922071. The reversal of 20965922064 is 46022956902.

It can be written as a sum of positive squares in 2 ways, for example, as 16983302400 + 3982619664 = 130320^2 + 63108^2 .

It is a super-3 number, since 3×209659220643 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20965922063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352122 + ... + 407334.

Almost surely, 220965922064 is an apocalyptic number.

20965922064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20965922064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30444833958).

20965922064 is an abundant number, since it is smaller than the sum of its proper divisors (39923745852).

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

20965922064 is a wasteful number, since it uses less digits than its factorization.

20965922064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55526 (or 55511 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20965922064 in words is "twenty billion, nine hundred sixty-five million, nine hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 293 324 432 586 648 879 1172 1296 1758 2344 2637 3516 4688 5274 7032 7911 10548 14064 15822 21096 23733 31644 42192 47466 55213 63288 94932 110426 126576 165639 189864 220852 331278 379728 441704 496917 662556 883408 993834 1325112 1490751 1987668 2650224 2981502 3975336 4472253 5963004 7950672 8944506 11926008 16177409 17889012 23852016 32354818 35778024 48532227 64709636 71556048 97064454 129419272 145596681 194128908 258838544 291193362 388257816 436790043 582386724 776515632 873580086 1164773448 1310370129 1747160172 2329546896 2620740258 3494320344 5241480516 6988640688 10482961032 20965922064