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4938509793672 = 23347131915129191
BaseRepresentation
bin100011111011101011000…
…0111110011100110001000
3122111010011020102222220000
41013313112013303212020
51121403032001344142
614300415312003000
71016536606426440
oct107672607634610
918433136388800
104938509793672
111634457039424
12679148b30460
1329a9129937b0
1413104d01d120
15886de25b14c
hex47dd61f3988

4938509793672 has 640 divisors, whose sum is σ = 18039815270400. Its totient is φ = 1225699776000.

The previous prime is 4938509793661. The next prime is 4938509793673. The reversal of 4938509793672 is 2763979058394.

4938509793672 is a `hidden beast` number, since 4 + 9 + 385 + 0 + 97 + 93 + 6 + 72 = 666.

It is a super-2 number, since 2×49385097936722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4938509793672.

It is not an unprimeable number, because it can be changed into a prime (4938509793673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 169164597 + ... + 169193787.

It is an arithmetic number, because the mean of its divisors is an integer number (28187211360).

Almost surely, 24938509793672 is an apocalyptic number.

4938509793672 is a gapful number since it is divisible by the number (42) 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 4938509793672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9019907635200).

4938509793672 is an abundant number, since it is smaller than the sum of its proper divisors (13101305476728).

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

4938509793672 is a wasteful number, since it uses less digits than its factorization.

4938509793672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29399 (or 29386 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 4938509793672 in words is "four trillion, nine hundred thirty-eight billion, five hundred nine million, seven hundred ninety-three thousand, six hundred seventy-two".