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21731477413712 = 2411297159968093
BaseRepresentation
bin1001111000011110000001…
…11111011101111101010000
32211221111202000200121212012
410330033000333131331100
510322022031204214322
6114115145232122052
74402022161140623
oct474170077357520
984844660617765
1021731477413712
116a192a4509420
12252b857996328
13c183671c61a1
14551b48317dba
1527a443d65ae2
hex13c3c0fddf50

21731477413712 has 80 divisors (see below), whose sum is σ = 48185562890880. Its totient is φ = 9402996825600.

The previous prime is 21731477413699. The next prime is 21731477413729.

21731477413712 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×217314774137122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 29621663 + ... + 30346430.

It is an arithmetic number, because the mean of its divisors is an integer number (602319536136).

Almost surely, 221731477413712 is an apocalyptic number.

21731477413712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21731477413712 is an abundant number, since it is smaller than the sum of its proper divisors (26454085477168).

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

21731477413712 is a wasteful number, since it uses less digits than its factorization.

21731477413712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59968212 (or 59968206 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 50.

It can be divided in two parts, 2173147 and 7413712, that added together give a palindrome (9586859).

The spelling of 21731477413712 in words is "twenty-one trillion, seven hundred thirty-one billion, four hundred seventy-seven million, four hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 71 88 116 142 176 232 284 319 464 568 638 781 1136 1276 1562 2059 2552 3124 4118 5104 6248 8236 12496 16472 22649 32944 45298 90596 181192 362384 59968093 119936186 239872372 479744744 659649023 959489488 1319298046 1739074697 2638596092 3478149394 4257734603 5277192184 6956298788 8515469206 10554384368 13912597576 17030938412 19129821667 27825195152 34061876824 38259643334 46835080633 68123753648 76519286668 93670161266 123474303487 153038573336 187340322532 246948606974 306077146672 374680645064 493897213948 749361290128 987794427896 1358217338357 1975588855792 2716434676714 5432869353428 10865738706856 21731477413712