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1945681660896 = 253110918275489
BaseRepresentation
bin11100010100000011101…
…010100000101111100000
320220000010220022022201220
4130110003222200233200
5223334224001122041
64045500034255040
7260366543145261
oct34240352405740
96800126268656
101945681660896
11690182634746
12275104a27480
13111627c53a0c
146a258820968
153592947ed66
hex1c503aa0be0

1945681660896 has 48 divisors (see below), whose sum is σ = 5112020062800. Its totient is φ = 647975702528.

The previous prime is 1945681660891. The next prime is 1945681660907. The reversal of 1945681660896 is 6980661865491.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1945681660896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945681660891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9031281 + ... + 9244208.

It is an arithmetic number, because the mean of its divisors is an integer number (106500417975).

Almost surely, 21945681660896 is an apocalyptic number.

1945681660896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1945681660896 is an abundant number, since it is smaller than the sum of its proper divisors (3166338401904).

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

1945681660896 is a wasteful number, since it uses less digits than its factorization.

1945681660896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18276611 (or 18276603 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 1945681660896 in words is "one trillion, nine hundred forty-five billion, six hundred eighty-one million, six hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1109 2218 3327 4436 6654 8872 13308 17744 26616 35488 53232 106464 18275489 36550978 54826467 73101956 109652934 146203912 219305868 292407824 438611736 584815648 877223472 1754446944 20267517301 40535034602 60802551903 81070069204 121605103806 162140138408 243210207612 324280276816 486420415224 648560553632 972840830448 1945681660896