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21462434125 = 53111743131163
BaseRepresentation
bin10011111111010000…
…101100000101001101
32001101202100121201121
4103333100230011031
5322423340343000
613505410240541
71356600452146
oct237720540515
961352317647
1021462434125
119113a91470
1241ab886151
132040676282
14107860aacd
15859344b1a
hex4ff42c14d

21462434125 has 128 divisors (see below), whose sum is σ = 32095844352. Its totient is φ = 14152320000.

The previous prime is 21462434113. The next prime is 21462434129. The reversal of 21462434125 is 52143426412.

It is not a de Polignac number, because 21462434125 - 27 = 21462433997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21462434129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131671294 + ... + 131671456.

It is an arithmetic number, because the mean of its divisors is an integer number (250748784).

Almost surely, 221462434125 is an apocalyptic number.

21462434125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21462434125 is a deficient number, since it is larger than the sum of its proper divisors (10633410227).

21462434125 is a wasteful number, since it uses less digits than its factorization.

21462434125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The spelling of 21462434125 in words is "twenty-one billion, four hundred sixty-two million, four hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 5 11 17 25 43 55 85 125 131 163 187 215 275 425 473 655 731 815 935 1075 1375 1441 1793 2125 2227 2365 2771 3275 3655 4075 4675 5375 5633 7009 7205 8041 8965 11135 11825 13855 16375 18275 20375 21353 23375 24497 28165 30481 35045 36025 40205 44825 55675 59125 61963 69275 77099 91375 95761 106765 119153 122485 140825 152405 175225 180125 201025 224125 234883 278375 309815 346375 363001 385495 478805 533825 595765 612425 704125 762025 876125 918179 1005125 1053371 1174415 1310683 1549075 1815005 1927475 2394025 2669125 2978825 3062125 3810125 3993011 4590895 5266855 5872075 6553415 7745375 9075025 9637375 10099969 11970125 14894125 15609043 19965055 22954475 26334275 29360375 32767075 45375125 50499845 78045215 99825275 114772375 131671375 163835375 171699473 252499225 390226075 499126375 858497365 1262496125 1951130375 4292486825 21462434125