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12788765040 = 243553286521
BaseRepresentation
bin10111110100100010…
…10001000101110000
31020000021022120120110
423322101101011300
5202142410440130
65513003341320
7631626465162
oct137221210560
936007276513
1012788765040
115472a19507
12258ab21840
13128a6b29bc
148946a0932
154ecb28ab0
hex2fa451170

12788765040 has 40 divisors (see below), whose sum is σ = 39645172368. Its totient is φ = 3410337280.

The previous prime is 12788765039. The next prime is 12788765047. The reversal of 12788765040 is 4056788721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×127887650402 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788765047) 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, 26643021 + ... + 26643500.

Almost surely, 212788765040 is an apocalyptic number.

12788765040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12788765040 is an abundant number, since it is smaller than the sum of its proper divisors (26856407328).

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

12788765040 is a wasteful number, since it uses less digits than its factorization.

12788765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53286537 (or 53286531 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 12788765040 in words is "twelve billion, seven hundred eighty-eight million, seven hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 53286521 106573042 159859563 213146084 266432605 319719126 426292168 532865210 639438252 799297815 852584336 1065730420 1278876504 1598595630 2131460840 2557753008 3197191260 4262921680 6394382520 12788765040