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1054281376272 = 243191156010281
BaseRepresentation
bin11110101011110000001…
…00010010001000010000
310201210021200102001020110
433111320010102020100
5114233132013020042
62124155152441320
7136112034560235
oct17257004221020
93653250361213
101054281376272
11377133396343
121503b0849240
1378559036bb7
143905561378c
151c656e1209c
hexf578112210

1054281376272 has 40 divisors (see below), whose sum is σ = 2866905499360. Its totient is φ = 332930960640.

The previous prime is 1054281376259. The next prime is 1054281376273. The reversal of 1054281376272 is 2726731824501.

It is a happy number.

It is a super-2 number, since 2×10542813762722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1054281376273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578004229 + ... + 578006052.

It is an arithmetic number, because the mean of its divisors is an integer number (71672637484).

Almost surely, 21054281376272 is an apocalyptic number.

1054281376272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054281376272 is an abundant number, since it is smaller than the sum of its proper divisors (1812624123088).

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

1054281376272 is a wasteful number, since it uses less digits than its factorization.

1054281376272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156010311 (or 1156010305 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 1054281376272 in words is "one trillion, fifty-four billion, two hundred eighty-one million, three hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1156010281 2312020562 3468030843 4624041124 6936061686 9248082248 13872123372 18496164496 21964195339 27744246744 43928390678 55488493488 65892586017 87856781356 131785172034 175713562712 263570344068 351427125424 527140688136 1054281376272