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10254234242052 = 223212291259184087
BaseRepresentation
bin1001010100110111111111…
…1111010100110000000100
31100022021222012210220002100
42111031333333110300010
52321001132431221202
633450421415112100
72105562324632133
oct225157777246004
940267865726070
1010254234242052
1132a38839a1a69
12119740a372630
13594c7c521b88
1427644402b91a
1512bb0985241c
hex9537ffd4c04

10254234242052 has 72 divisors (see below), whose sum is σ = 25962261998400. Its totient is φ = 3412565650368.

The previous prime is 10254234242051. The next prime is 10254234242069. The reversal of 10254234242052 is 25024243245201.

10254234242052 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 23 + 424 + 205 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10254234241998 and 10254234242016.

It is not an unprimeable number, because it can be changed into a prime (10254234242051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55611153 + ... + 55795239.

It is an arithmetic number, because the mean of its divisors is an integer number (360586972200).

Almost surely, 210254234242052 is an apocalyptic number.

10254234242052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10254234242052 is an abundant number, since it is smaller than the sum of its proper divisors (15708027756348).

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

10254234242052 is a wasteful number, since it uses less digits than its factorization.

10254234242052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186585 (or 186580 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 10254234242052 its reverse (25024243245201), we get a palindrome (35278477487253).

The spelling of 10254234242052 in words is "ten trillion, two hundred fifty-four billion, two hundred thirty-four million, two hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1229 1259 2458 2518 3687 3777 4916 5036 7374 7554 11061 11331 14748 15108 22122 22662 44244 45324 184087 368174 552261 736348 1104522 1547311 1656783 2209044 3094622 3313566 4641933 6189244 6627132 9283866 13925799 18567732 27851598 55703196 226242923 231765533 452485846 463531066 678728769 695296599 904971692 927062132 1357457538 1390593198 2036186307 2085889797 2714915076 2781186396 4072372614 4171779594 8144745228 8343559188 284839840057 569679680114 854519520171 1139359360228 1709039040342 2563558560513 3418078080684 5127117121026 10254234242052