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49521157920 = 25345134167107
BaseRepresentation
bin101110000111101100…
…001110011100100000
311201211012210110210000
4232013230032130200
51302404404023140
634425534140000
73402115616463
oct560754163440
9151735713700
1049521157920
111a0024479a3
129720651600
1348927b5110
14257acc52da
15144c80aa30
hexb87b0e720

49521157920 has 960 divisors, whose sum is σ = 197509124736. Its totient is φ = 11605524480.

The previous prime is 49521157877. The next prime is 49521157937. The reversal of 49521157920 is 2975112594.

49521157920 is a `hidden beast` number, since 4 + 9 + 52 + 1 + 1 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 462814507 + ... + 462814613.

Almost surely, 249521157920 is an apocalyptic number.

49521157920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49521157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98754562368).

49521157920 is an abundant number, since it is smaller than the sum of its proper divisors (147987966816).

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

49521157920 is a wasteful number, since it uses less digits than its factorization.

49521157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 49521157920 in words is "forty-nine billion, five hundred twenty-one million, one hundred fifty-seven thousand, nine hundred twenty".