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532630507104 = 253218110217743
BaseRepresentation
bin1111100000000110100…
…00001000111001100000
31212220210221021012222200
413300003100020321200
532211311402211404
61044404224133200
753324036416203
oct7600320107140
91786727235880
10532630507104
11195984043443
1287288a67200
133b2c44a7847
141bacab7193a
15dcc5666839
hex7c03408e60

532630507104 has 72 divisors (see below), whose sum is σ = 1523036485152. Its totient is φ = 176562581760.

The previous prime is 532630507103. The next prime is 532630507111. The reversal of 532630507104 is 401705036235.

532630507104 is a `hidden beast` number, since 5 + 3 + 2 + 630 + 5 + 0 + 7 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532630507103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5056744 + ... + 5160999.

It is an arithmetic number, because the mean of its divisors is an integer number (21153284516).

Almost surely, 2532630507104 is an apocalyptic number.

It is an amenable number.

532630507104 is an abundant number, since it is smaller than the sum of its proper divisors (990405978048).

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

532630507104 is a wasteful number, since it uses less digits than its factorization.

532630507104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10217940 (or 10217929 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 532630507104 in words is "five hundred thirty-two billion, six hundred thirty million, five hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 13032 17376 26064 52128 10217743 20435486 30653229 40870972 61306458 81741944 91959687 122612916 163483888 183919374 245225832 326967776 367838748 490451664 735677496 980903328 1471354992 1849411483 2942709984 3698822966 5548234449 7397645932 11096468898 14795291864 16644703347 22192937796 29590583728 33289406694 44385875592 59181167456 66578813388 88771751184 133157626776 177543502368 266315253552 532630507104