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4128992740 = 2252941401433
BaseRepresentation
bin1111011000011011…
…0110110111100100
3101122202102120020001
43312012312313210
531424010231430
61521414351044
7204214600465
oct36606666744
911582376201
104128992740
1118297883a4
1297295b484
1350a576892
142b2530d6c
151927553ca
hexf61b6de4

4128992740 has 96 divisors (see below), whose sum is σ = 9232846560. Its totient is φ = 1548288000.

The previous prime is 4128992737. The next prime is 4128992779. The reversal of 4128992740 is 472998214.

It can be written as a sum of positive squares in 16 ways, for example, as 1365598116 + 2763394624 = 36954^2 + 52568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9535564 + ... + 9535996.

It is an arithmetic number, because the mean of its divisors is an integer number (96175485).

Almost surely, 24128992740 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 4128992740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616423280).

4128992740 is an abundant number, since it is smaller than the sum of its proper divisors (5103853820).

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

4128992740 is a wasteful number, since it uses less digits than its factorization.

4128992740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 4128992740 is about 64257.2388140044. The cubic root of 4128992740 is about 1604.2844466450.

The spelling of 4128992740 in words is "four billion, one hundred twenty-eight million, nine hundred ninety-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 401 410 433 580 802 820 866 1189 1604 1732 2005 2165 2378 4010 4330 4756 5945 8020 8660 11629 11890 12557 16441 17753 23258 23780 25114 32882 35506 46516 50228 58145 62785 65764 71012 82205 88765 116290 125570 164410 173633 177530 232580 251140 328820 347266 355060 476789 514837 694532 868165 953578 1029674 1736330 1907156 2059348 2383945 2574185 3472660 4767890 5035357 5148370 7118953 9535780 10070714 10296740 14237906 20141428 25176785 28475812 35594765 50353570 71189530 100707140 142379060 206449637 412899274 825798548 1032248185 2064496370 4128992740