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3975273051750 = 23353711132167271
BaseRepresentation
bin111001110110010000101…
…111001111011001100110
3112002000212121120120201000
4321312100233033121212
51010112324400124000
612242114253414130
7560126654263020
oct71662057173146
915060777516630
103975273051750
1112a29a4003450
12542526a9a346
1322ab36016100
14da593353010
156d615272000
hex39d90bcf666

3975273051750 has 1536 divisors, whose sum is σ = 15028178780160. Its totient is φ = 755127360000.

The previous prime is 3975273051719. The next prime is 3975273051809. The reversal of 3975273051750 is 571503725793.

It is a happy number.

3975273051750 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 2 + 73 + 0 + 517 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 14668904115 + ... + 14668904385.

It is an arithmetic number, because the mean of its divisors is an integer number (9783970560).

Almost surely, 23975273051750 is an apocalyptic number.

3975273051750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3975273051750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514089390080).

3975273051750 is an abundant number, since it is smaller than the sum of its proper divisors (11052905728410).

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

3975273051750 is a wasteful number, since it uses less digits than its factorization.

3975273051750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 3975273051750 in words is "three trillion, nine hundred seventy-five billion, two hundred seventy-three million, fifty-one thousand, seven hundred fifty".