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4125758912 = 261161191503
BaseRepresentation
bin1111010111101010…
…0001010111000000
3101122112100021020122
43311322201113000
531422143241122
61521221155412
7204145241432
oct36572412700
911575307218
104125758912
111827979810
1297185bb68
135099b3982
142b1d2c652
15192317142
hexf5ea15c0

4125758912 has 112 divisors (see below), whose sum is σ = 9143414784. Its totient is φ = 1831296000.

The previous prime is 4125758899. The next prime is 4125758927. The reversal of 4125758912 is 2198575214.

4125758912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8202053 + ... + 8202555.

It is an arithmetic number, because the mean of its divisors is an integer number (81637632).

Almost surely, 24125758912 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 4125758912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571707392).

4125758912 is an abundant number, since it is smaller than the sum of its proper divisors (5017655872).

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

4125758912 is a wasteful number, since it uses less digits than its factorization.

4125758912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its digits is 201600, while the sum is 44.

The square root of 4125758912 is about 64232.0707435157. The cubic root of 4125758912 is about 1603.8655119485.

The spelling of 4125758912 in words is "four billion, one hundred twenty-five million, seven hundred fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 191 244 352 382 488 503 671 704 764 976 1006 1342 1528 1952 2012 2101 2684 3056 3904 4024 4202 5368 5533 6112 8048 8404 10736 11066 11651 12224 16096 16808 21472 22132 23302 30683 32192 33616 42944 44264 46604 61366 67232 88528 93208 96073 122732 128161 134464 177056 186416 192146 245464 256322 337513 354112 372832 384292 490928 512644 675026 745664 768584 981856 1025288 1056803 1350052 1537168 1963712 2050576 2113606 2700104 3074336 4101152 4227212 5400208 5860453 6148672 8202304 8454424 10800416 11720906 16908848 21600832 23441812 33817696 46883624 64464983 67635392 93767248 128929966 187534496 257859932 375068992 515719864 1031439728 2062879456 4125758912