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49241364480 = 211355711257
BaseRepresentation
bin101101110111000000…
…111001100000000000
311201002201022111100000
4231313000321200000
51301321242130410
634342101200000
73362150456250
oct556700714000
9151081274300
1049241364480
1119979514a50
129662a00000
134849840779
142551a91960
151432e8ddc0
hexb77039800

49241364480 has 1152 divisors, whose sum is σ = 221512112640. Its totient is φ = 10192158720.

The previous prime is 49241364451. The next prime is 49241364509. The reversal of 49241364480 is 8446314294.

49241364480 is a `hidden beast` number, since 4 + 9 + 241 + 364 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49241364451) and next prime (49241364509).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600512 + ... + 191600768.

It is an arithmetic number, because the mean of its divisors is an integer number (192284820).

Almost surely, 249241364480 is an apocalyptic number.

49241364480 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 49241364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110756056320).

49241364480 is an abundant number, since it is smaller than the sum of its proper divisors (172270748160).

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

49241364480 is a wasteful number, since it uses less digits than its factorization.

49241364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 49241364480 in words is "forty-nine billion, two hundred forty-one million, three hundred sixty-four thousand, four hundred eighty".