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537980479920 = 243951341641
BaseRepresentation
bin1111101010000100010…
…00101010100110110000
31220102121210012000000000
413311002020222212300
532303241000324140
61051051140430000
753603441425452
oct7650210524660
91812553160000
10537980479920
11198179a57184
12883206a8300
133b9679b0130
141c0774d42d2
15deda19da30
hex7d4222a9b0

537980479920 has 800 divisors, whose sum is σ = 2073005694144. Its totient is φ = 128994508800.

The previous prime is 537980479873. The next prime is 537980479969. The reversal of 537980479920 is 29974089735.

537980479920 is a `hidden beast` number, since 5 + 3 + 79 + 8 + 0 + 479 + 92 + 0 = 666.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 839282800 + ... + 839283440.

Almost surely, 2537980479920 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 537980479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036502847072).

537980479920 is an abundant number, since it is smaller than the sum of its proper divisors (1535025214224).

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

537980479920 is an equidigital number, since it uses as much as digits as its factorization.

537980479920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 537980479920 in words is "five hundred thirty-seven billion, nine hundred eighty million, four hundred seventy-nine thousand, nine hundred twenty".