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12563764020 = 2232569798689
BaseRepresentation
bin10111011001101101…
…11101001100110100
31012102120221100012100
423230312331030310
5201212310422040
65434405022100
7623225142423
oct135466751464
935376840170
1012563764020
115367a0a955
1225276b4930
131252bb3bc2
148728512ba
154d7ed1b30
hex2ecdbd334

12563764020 has 36 divisors (see below), whose sum is σ = 38110084740. Its totient is φ = 3350337024.

The previous prime is 12563764019. The next prime is 12563764097. The reversal of 12563764020 is 2046736521.

12563764020 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 3 + 7 + 640 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8149756176 + 4414007844 = 90276^2 + 66438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34899165 + ... + 34899524.

It is an arithmetic number, because the mean of its divisors is an integer number (1058613465).

Almost surely, 212563764020 is an apocalyptic number.

12563764020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12563764020 is an abundant number, since it is smaller than the sum of its proper divisors (25546320720).

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

12563764020 is a wasteful number, since it uses less digits than its factorization.

12563764020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69798704 (or 69798699 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12563764020 in words is "twelve billion, five hundred sixty-three million, seven hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 69798689 139597378 209396067 279194756 348993445 418792134 628188201 697986890 837584268 1046980335 1256376402 1395973780 2093960670 2512752804 3140941005 4187921340 6281882010 12563764020