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48022873920 = 2633571923279
BaseRepresentation
bin101100101110011000…
…101110011101000000
311120221210111202112000
4230232120232131000
51241322323431140
634021132504000
73320023456530
oct545630563500
9146853452460
1048022873920
1119403729a5a
12938291b000
1346b4273c38
142477d0b4c0
1513b0eeea30
hexb2e62e740

48022873920 has 1344 divisors, whose sum is σ = 215749632000. Its totient is φ = 9820901376.

The previous prime is 48022873891. The next prime is 48022873973. The reversal of 48022873920 is 2937822084.

48022873920 is a `hidden beast` number, since 480 + 2 + 2 + 87 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 607884441 + ... + 607884519.

It is an arithmetic number, because the mean of its divisors is an integer number (160528000).

Almost surely, 248022873920 is an apocalyptic number.

48022873920 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 48022873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107874816000).

48022873920 is an abundant number, since it is smaller than the sum of its proper divisors (167726758080).

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

48022873920 is a wasteful number, since it uses less digits than its factorization.

48022873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48022873920 in words is "forty-eight billion, twenty-two million, eight hundred seventy-three thousand, nine hundred twenty".