Search a number
-
+
1048773994992 = 243324231001947
BaseRepresentation
bin11110100001011111100…
…11010010100111110000
310201021001212022002102000
433100233303102213300
5114140342120314432
62121444454254000
7135525411604113
oct17205763224760
93637055262360
101048773994992
11374867640269
1214b314357300
1377b8c03a5c9
1438a91dd857a
151c43368557c
hexf42fcd29f0

1048773994992 has 80 divisors (see below), whose sum is σ = 3011615220480. Its totient is φ = 349446702528.

The previous prime is 1048773994991. The next prime is 1048773995069. The reversal of 1048773994992 is 2994993778401.

1048773994992 is a `hidden beast` number, since 1 + 0 + 48 + 7 + 7 + 3 + 99 + 499 + 2 = 666.

It is a super-3 number, since 3×10487739949923 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1048773994992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048773994991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545763 + ... + 1547709.

It is an arithmetic number, because the mean of its divisors is an integer number (37645190256).

Almost surely, 21048773994992 is an apocalyptic number.

1048773994992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1048773994992 is an abundant number, since it is smaller than the sum of its proper divisors (1962841225488).

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

1048773994992 is a wasteful number, since it uses less digits than its factorization.

1048773994992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004387 (or 1004375 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 1048773994992 in words is "one trillion, forty-eight billion, seven hundred seventy-three million, nine hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2423 4846 7269 9692 14538 19384 21807 29076 38768 43614 58152 65421 87228 116304 130842 174456 261684 348912 523368 1001947 1046736 2003894 3005841 4007788 6011682 8015576 9017523 12023364 16031152 18035046 24046728 27052569 36070092 48093456 54105138 72140184 108210276 144280368 216420552 432841104 2427717581 4855435162 7283152743 9710870324 14566305486 19421740648 21849458229 29132610972 38843481296 43698916458 58265221944 65548374687 87397832916 116530443888 131096749374 174795665832 262193498748 349591331664 524386997496 1048773994992