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4134770780 = 225743215973
BaseRepresentation
bin1111011001110011…
…1001100001011100
3101200011022010012112
43312130321201130
531432000131110
61522142253152
7204314654210
oct36634714134
911604263175
104134770780
111831a74538
129748871b8
1350b81a83a
142b31d6940
15192ee7405
hexf673985c

4134770780 has 72 divisors (see below), whose sum is σ = 10160230752. Its totient is φ = 1384580736.

The previous prime is 4134770777. The next prime is 4134770807. The reversal of 4134770780 is 870774314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250874 + ... + 266846.

It is an arithmetic number, because the mean of its divisors is an integer number (141114316).

Almost surely, 24134770780 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 4134770780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080115376).

4134770780 is an abundant number, since it is smaller than the sum of its proper divisors (6025459972).

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

4134770780 is a wasteful number, since it uses less digits than its factorization.

4134770780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16075 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 4134770780 is about 64302.1833221859. The cubic root of 4134770780 is about 1605.0324336830.

The spelling of 4134770780 in words is "four billion, one hundred thirty-four million, seven hundred seventy thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 1849 3010 3698 6020 7396 9245 12943 15973 18490 25886 31946 36980 51772 63892 64715 79865 111811 129430 159730 223622 258860 319460 447244 559055 686839 1118110 1373678 2236220 2747356 3434195 4807873 6868390 9615746 13736780 19231492 24039365 29534077 48078730 59068154 96157460 118136308 147670385 206738539 295340770 413477078 590681540 826954156 1033692695 2067385390 4134770780