Search a number
-
+
4261129680 = 243517754707
BaseRepresentation
bin1111110111111011…
…1010110111010000
3101222222001211000210
43331332322313100
532211322122210
61542454444120
7210411001413
oct37576726720
911888054023
104261129680
111897329885
129ab063640
1352ba5cc12
142c5cc9b7a
1519e156e20
hexfdfbadd0

4261129680 has 40 divisors (see below), whose sum is σ = 13209502752. Its totient is φ = 1136301184.

The previous prime is 4261129667. The next prime is 4261129699. The reversal of 4261129680 is 869211624.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42611296802 = 36314452299553804800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8877114 + ... + 8877593.

Almost surely, 24261129680 is an apocalyptic number.

4261129680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4261129680 is an abundant number, since it is smaller than the sum of its proper divisors (8948373072).

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

4261129680 is a wasteful number, since it uses less digits than its factorization.

4261129680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17754723 (or 17754717 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4261129680 is about 65277.3289894738. The cubic root of 4261129680 is about 1621.2186227822.

The spelling of 4261129680 in words is "four billion, two hundred sixty-one million, one hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17754707 35509414 53264121 71018828 88773535 106528242 142037656 177547070 213056484 266320605 284075312 355094140 426112968 532641210 710188280 852225936 1065282420 1420376560 2130564840 4261129680