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4125979776 = 27331134549
BaseRepresentation
bin1111010111101101…
…0111010010000000
3101122112202111012210
43311323113102000
531422222323101
61521230022120
7204150151362
oct36573272200
911575674183
104125979776
11182800a746
12971947940
13509a60369
142b1d88d32
1519235c7d6
hexf5ed7480

4125979776 has 64 divisors (see below), whose sum is σ = 10995192000. Its totient is φ = 1370864640.

The previous prime is 4125979771. The next prime is 4125979801. The reversal of 4125979776 is 6779795214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×41259797762 = 34047418223922020352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4125979771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102150 + ... + 136698.

It is an arithmetic number, because the mean of its divisors is an integer number (171799875).

Almost surely, 24125979776 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 4125979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497596000).

4125979776 is an abundant number, since it is smaller than the sum of its proper divisors (6869212224).

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

4125979776 is a wasteful number, since it uses less digits than its factorization.

4125979776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34877 (or 34865 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 57.

The square root of 4125979776 is about 64233.7899862681. The cubic root of 4125979776 is about 1603.8941313160.

The spelling of 4125979776 in words is "four billion, one hundred twenty-five million, nine hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1866 2488 3732 4976 7464 9952 14928 19904 29856 34549 39808 59712 69098 103647 119424 138196 207294 276392 414588 552784 829176 1105568 1658352 2211136 3316704 4422272 6633408 10744739 13266816 21489478 32234217 42978956 64468434 85957912 128936868 171915824 257873736 343831648 515747472 687663296 1031494944 1375326592 2062989888 4125979776