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2153134321416 = 233313766785727
BaseRepresentation
bin11111010101010000110…
…011100110111100001000
321121211121122002101112000
4133111100303212330020
5240234104341241131
64325045232551000
7311362450521441
oct37252063467410
97554548071460
102153134321416
11760159213011
122a93603b2460
13128069297790
14762d86102c8
153b01bd34ce6
hex1f550ce6f08

2153134321416 has 64 divisors (see below), whose sum is σ = 6441000115200. Its totient is φ = 662502867264.

The previous prime is 2153134321391. The next prime is 2153134321417. The reversal of 2153134321416 is 6141234313512.

2153134321416 is a `hidden beast` number, since 2 + 1 + 5 + 313 + 4 + 321 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2153134321417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383390056 + ... + 383395671.

It is an arithmetic number, because the mean of its divisors is an integer number (100640626800).

Almost surely, 22153134321416 is an apocalyptic number.

2153134321416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2153134321416 is an abundant number, since it is smaller than the sum of its proper divisors (4287865793784).

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

2153134321416 is a wasteful number, since it uses less digits than its factorization.

2153134321416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766785755 (or 766785745 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 2153134321416 its reverse (6141234313512), we get a palindrome (8294368634928).

The spelling of 2153134321416 in words is "two trillion, one hundred fifty-three billion, one hundred thirty-four million, three hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 766785727 1533571454 2300357181 3067142908 4600714362 6134285816 6901071543 9201428724 9968214451 13802143086 18402857448 19936428902 20703214629 27604286172 29904643353 39872857804 41406429258 55208572344 59809286706 79745715608 82812858516 89713930059 119618573412 165625717032 179427860118 239237146824 269141790177 358855720236 538283580354 717711440472 1076567160708 2153134321416