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49430023776 = 253273141101191
BaseRepresentation
bin101110000010010000…
…100100111001100000
311201120212022101020100
4232002100210321200
51302213041230101
634412520542400
73366631161330
oct560220447140
9151525271210
1049430023776
1119a65a61521
1296b6021a00
134879956ba3
14256cb610c0
151444807e86
hexb82424e60

49430023776 has 576 divisors, whose sum is σ = 172454510592. Its totient is φ = 13132800000.

The previous prime is 49430023763. The next prime is 49430023789. The reversal of 49430023776 is 67732003494.

49430023776 is a `hidden beast` number, since 49 + 4 + 300 + 237 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (49430023763) and next prime (49430023789).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258795841 + ... + 258796031.

It is an arithmetic number, because the mean of its divisors is an integer number (299400192).

Almost surely, 249430023776 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 49430023776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86227255296).

49430023776 is an abundant number, since it is smaller than the sum of its proper divisors (123024486816).

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

49430023776 is a wasteful number, since it uses less digits than its factorization.

49430023776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 49430023776 in words is "forty-nine billion, four hundred thirty million, twenty-three thousand, seven hundred seventy-six".