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21180710912 = 21971569
BaseRepresentation
bin10011101110011110…
…000000000000000000
32000200010020121010112
4103232132000000000
5321334230222122
613421424050452
71346610033524
oct235636000000
960603217115
1021180710912
118a89a60669
124131463a28
131cc71a744a
14104d033d84
1583e7462e2
hex4ee780000

21180710912 has 80 divisors (see below), whose sum is σ = 43033518000. Its totient is φ = 10422845440.

The previous prime is 21180710911. The next prime is 21180710917. The reversal of 21180710912 is 21901708112.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21180710911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37224164 + ... + 37224732.

It is an arithmetic number, because the mean of its divisors is an integer number (537918975).

Almost surely, 221180710912 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 21180710912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21516759000).

21180710912 is an abundant number, since it is smaller than the sum of its proper divisors (21852807088).

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

21180710912 is an frugal number, since it uses more digits than its factorization.

21180710912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 32.

The spelling of 21180710912 in words is "twenty-one billion, one hundred eighty million, seven hundred ten thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 569 1024 1136 1138 2048 2272 2276 4096 4544 4552 8192 9088 9104 16384 18176 18208 32768 36352 36416 40399 65536 72704 72832 80798 131072 145408 145664 161596 262144 290816 291328 323192 524288 581632 582656 646384 1163264 1165312 1292768 2326528 2330624 2585536 4653056 4661248 5171072 9306112 9322496 10342144 18612224 18644992 20684288 37224448 37289984 41368576 74579968 82737152 149159936 165474304 298319872 330948608 661897216 1323794432 2647588864 5295177728 10590355456 21180710912