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1363125632 = 27117431303
BaseRepresentation
bin101000100111111…
…1010010110000000
310111222221221211112
41101033322112000
510242430010012
6343132302452
745531243131
oct12117722600
93458857745
101363125632
1163a4a3510
12320611a28
1318953a81b
14cd073c88
157ea0e122
hex513fa580

1363125632 has 64 divisors (see below), whose sum is σ = 2968738560. Its totient is φ = 618293760.

The previous prime is 1363125629. The next prime is 1363125689. The reversal of 1363125632 is 2365213631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13631256322 = 3716222977230798848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 1045493 + ... + 1046795.

It is an arithmetic number, because the mean of its divisors is an integer number (46386540).

Almost surely, 21363125632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484369280).

1363125632 is an abundant number, since it is smaller than the sum of its proper divisors (1605612928).

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

1363125632 is a wasteful number, since it uses less digits than its factorization.

1363125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2059 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The square root of 1363125632 is about 36920.5313071196. The cubic root of 1363125632 is about 1108.7797731791.

The spelling of 1363125632 in words is "one billion, three hundred sixty-three million, one hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 743 1303 1408 1486 2606 2972 5212 5944 8173 10424 11888 14333 16346 20848 23776 28666 32692 41696 47552 57332 65384 83392 95104 114664 130768 166784 229328 261536 458656 523072 917312 968129 1046144 1834624 1936258 3872516 7745032 10649419 15490064 21298838 30980128 42597676 61960256 85195352 123920512 170390704 340781408 681562816 1363125632