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1010245282872 = 233731193979509
BaseRepresentation
bin11101011001101110100…
…11111010110000111000
310120120121201201201110020
432230313103322300320
5113022440243022442
62052033354250440
7132662551135260
oct16546723726070
93516551651406
101010245282872
1135a496141621
12143961126a20
137435ba365b7
1436c78db87a0
151b42ae259ec
hexeb374fac38

1010245282872 has 64 divisors (see below), whose sum is σ = 2979525273600. Its totient is φ = 279330491520.

The previous prime is 1010245282861. The next prime is 1010245282877. The reversal of 1010245282872 is 2782825420101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010245282877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96984547 + ... + 96994962.

It is an arithmetic number, because the mean of its divisors is an integer number (46555082400).

Almost surely, 21010245282872 is an apocalyptic number.

1010245282872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010245282872 is an abundant number, since it is smaller than the sum of its proper divisors (1969279990728).

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

1010245282872 is a wasteful number, since it uses less digits than its factorization.

1010245282872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193979556 (or 193979552 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 1010245282872 in words is "one trillion, ten billion, two hundred forty-five million, two hundred eighty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 193979509 387959018 581938527 775918036 1163877054 1357856563 1551836072 2327754108 2715713126 4073569689 4655508216 5431426252 6013364779 8147139378 10862852504 12026729558 16294278756 18040094337 24053459116 32588557512 36080188674 42093553453 48106918232 72160377348 84187106906 126280660359 144320754696 168374213812 252561320718 336748427624 505122641436 1010245282872