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48671493120 = 2103253728547
BaseRepresentation
bin101101010101000011…
…000000110000000000
311122122000000000210100
4231111003000300000
51244134400234440
634205343002400
73342060602565
oct552503006000
9148560000710
1048671493120
1119706875188
129523b99400
134788763593
1424da10c86c
1513ece23230
hexb550c0c00

48671493120 has 264 divisors, whose sum is σ = 173209508784. Its totient is φ = 12627836928.

The previous prime is 48671493103. The next prime is 48671493131. The reversal of 48671493120 is 2139417684.

48671493120 is a `hidden beast` number, since 4 + 86 + 71 + 493 + 12 + 0 = 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690687 + ... + 1719233.

Almost surely, 248671493120 is an apocalyptic number.

48671493120 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 48671493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86604754392).

48671493120 is an abundant number, since it is smaller than the sum of its proper divisors (124538015664).

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

48671493120 is a wasteful number, since it uses less digits than its factorization.

48671493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28615 (or 28594 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48671493120 in words is "forty-eight billion, six hundred seventy-one million, four hundred ninety-three thousand, one hundred twenty".