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4125071772 = 22357515651
BaseRepresentation
bin1111010111011111…
…1001100110011100
3101122111001100200000
43311313321212130
531422004244042
61521154334300
7204136350213
oct36567714634
911574040600
104125071772
11182754a528
1297158a390
13509802c93
142b1bd007a
1519222d74c
hexf5df999c

4125071772 has 72 divisors (see below), whose sum is σ = 10829774592. Its totient is φ = 1372950000.

The previous prime is 4125071771. The next prime is 4125071833. The reversal of 4125071772 is 2771705214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125071771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727147 + ... + 732797.

It is an arithmetic number, because the mean of its divisors is an integer number (150413536).

Almost surely, 24125071772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125071772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414887296).

4125071772 is an abundant number, since it is smaller than the sum of its proper divisors (6704702820).

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

4125071772 is a wasteful number, since it uses less digits than its factorization.

4125071772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 4125071772 is about 64226.7216351574. The cubic root of 4125071772 is about 1603.7764664047.

Adding to 4125071772 its reverse (2771705214), we get a palindrome (6896776986).

The spelling of 4125071772 in words is "four billion, one hundred twenty-five million, seventy-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 751 972 1502 2253 3004 4506 5651 6759 9012 11302 13518 16953 20277 22604 27036 33906 40554 50859 60831 67812 81108 101718 121662 152577 182493 203436 243324 305154 364986 457731 610308 729972 915462 1373193 1830924 2746386 4243901 5492772 8487802 12731703 16975604 25463406 38195109 50926812 76390218 114585327 152780436 229170654 343755981 458341308 687511962 1031267943 1375023924 2062535886 4125071772