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2153326214025 = 3252759101229433
BaseRepresentation
bin11111010101011100001…
…111100111101110001001
321121212010000011112200200
4133111130033213232021
5240240003002322100
64325120245522413
7311400300551220
oct37253417475611
97555100145620
102153326214025
11760247568848
122a93b4713409
13128099c737bc
1476315cc1cb7
153b02dadbe00
hex1f55c3e7b89

2153326214025 has 144 divisors (see below), whose sum is σ = 4526934721920. Its totient is φ = 958108032000.

The previous prime is 2153326213999. The next prime is 2153326214029. The reversal of 2153326214025 is 5204126233512.

2153326214025 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 3 + 2 + 621 + 4 + 0 + 25 = 666.

It is not a de Polignac number, because 2153326214025 - 25 = 2153326213993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2153326214029) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9270709 + ... + 9500141.

It is an arithmetic number, because the mean of its divisors is an integer number (31437046680).

Almost surely, 22153326214025 is an apocalyptic number.

2153326214025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2153326214025 is an abundant number, since it is smaller than the sum of its proper divisors (2373608507895).

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

2153326214025 is a wasteful number, since it uses less digits than its factorization.

2153326214025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229616 (or 229608 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2153326214025 in words is "two trillion, one hundred fifty-three billion, three hundred twenty-six million, two hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 59 63 75 101 105 175 177 225 295 303 315 413 505 525 531 707 885 909 1239 1475 1515 1575 2065 2121 2525 2655 3535 3717 4425 4545 5959 6195 6363 7575 10325 10605 13275 17675 17877 18585 22725 29795 30975 31815 41713 53025 53631 89385 92925 125139 148975 159075 208565 229433 268155 375417 446925 625695 688299 1042825 1147165 1340775 1606031 1877085 2064897 3128475 3441495 4818093 5735825 8030155 9385425 10324485 13536547 14454279 17207475 23172733 24090465 40150775 40609641 51622425 67682735 69518199 72271395 94755829 115863665 120452325 121828923 162209131 203048205 208554597 284267487 338413675 347590995 361356975 473779145 486627393 579318325 609144615 811045655 852802461 1015241025 1042772985 1367191247 1421337435 1459882179 1737954975 2368895725 2433136965 3045723075 4055228275 4101573741 4264012305 5213864925 6835956235 7106687175 7299410895 9570338729 12165684825 12304721223 20507868705 21320061525 28711016187 34179781175 36497054475 47851693645 61523606115 86133048561 102539343525 143555080935 239258468225 307618030575 430665242805 717775404675 2153326214025