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4985136932760 = 23325192341311329
BaseRepresentation
bin100100010001011000101…
…0100001110011110011000
3122122120111202122002011100
41020202301110032132120
51123134030023322020
614334050145231400
71023110224526445
oct110426124163630
918576452562140
104985136932760
111652203922116
126861a0332560
132a2133a2041a
141333d38089cc
1589a1c959a90
hex488b150e798

4985136932760 has 192 divisors, whose sum is σ = 17061755724000. Its totient is φ = 1258860994560.

The previous prime is 4985136932753. The next prime is 4985136932761. The reversal of 4985136932760 is 672396315894.

4985136932760 is a `hidden beast` number, since 4 + 9 + 8 + 513 + 6 + 93 + 27 + 6 + 0 = 666.

It is a super-3 number, since 3×49851369327603 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4985136932761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15856776 + ... + 16168104.

It is a 1-persistent number, because it is pandigital, but 2⋅4985136932760 = 9970273865520 is not.

Almost surely, 24985136932760 is an apocalyptic number.

4985136932760 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 4985136932760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530877862000).

4985136932760 is an abundant number, since it is smaller than the sum of its proper divisors (12076618791240).

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

4985136932760 is a wasteful number, since it uses less digits than its factorization.

4985136932760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313706 (or 313699 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 4985136932760 in words is "four trillion, nine hundred eighty-five billion, one hundred thirty-six million, nine hundred thirty-two thousand, seven hundred sixty".