Search a number
-
+
20611757434000 = 245310305878717
BaseRepresentation
bin1001010111111000011000…
…11110101110010010010000
32200222110112211000002111111
410223330030132232102100
510200200334400342000
6111500524411023104
74225102364303065
oct453741436562220
980873484002444
1020611757434000
1166274407a6837
12238a843a3aa94
13b668aca66c85
14513885c1ac6c
1525b25c00ccba
hex12bf0c7ae490

20611757434000 has 40 divisors (see below), whose sum is σ = 49839229480248. Its totient is φ = 8244702972800.

The previous prime is 20611757433997. The next prime is 20611757434097. The reversal of 20611757434000 is 43475711602.

It can be written as a sum of positive squares in 4 ways, for example, as 176547870976 + 20435209563024 = 420176^2 + 4520532^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5152937359 + ... + 5152941358.

Almost surely, 220611757434000 is an apocalyptic number.

20611757434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20611757434000 is an abundant number, since it is smaller than the sum of its proper divisors (29227472046248).

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

20611757434000 is a wasteful number, since it uses less digits than its factorization.

20611757434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305878740 (or 10305878724 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 20611757434000 in words is "twenty trillion, six hundred eleven billion, seven hundred fifty-seven million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10305878717 20611757434 41223514868 51529393585 82447029736 103058787170 164894059472 206117574340 257646967925 412235148680 515293935850 824470297360 1030587871700 1288234839625 2061175743400 2576469679250 4122351486800 5152939358500 10305878717000 20611757434000