Search a number
-
+
24604066020 = 22358937912157
BaseRepresentation
bin10110111010100001…
…000100000011100100
32100111200220001111110
4112322201010003210
5400342120103040
615145234305020
71530466052622
oct267241040344
970450801443
1024604066020
11a486398a66
124927a28170
1324214b9861
141295960512
15990063980
hex5ba8440e4

24604066020 has 96 divisors (see below), whose sum is σ = 69855004800. Its totient is φ = 6469714944.

The previous prime is 24604066013. The next prime is 24604066021. The reversal of 24604066020 is 2066040642.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (24604066021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017782 + ... + 2029938.

It is an arithmetic number, because the mean of its divisors is an integer number (727656300).

Almost surely, 224604066020 is an apocalyptic number.

24604066020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24604066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927502400).

24604066020 is an abundant number, since it is smaller than the sum of its proper divisors (45250938780).

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

24604066020 is a wasteful number, since it uses less digits than its factorization.

24604066020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12637 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 24604066020 in words is "twenty-four billion, six hundred four million, sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 379 445 534 758 890 1068 1137 1335 1516 1780 1895 2274 2670 3790 4548 5340 5685 7580 11370 12157 22740 24314 33731 36471 48628 60785 67462 72942 101193 121570 134924 145884 168655 182355 202386 243140 337310 364710 404772 505965 674620 729420 1011930 1081973 2023860 2163946 3245919 4327892 4607503 5409865 6491838 9215006 10819730 12983676 13822509 16229595 18430012 21639460 23037515 27645018 32459190 46075030 55290036 64918380 69112545 92150060 138225090 276450180 410067767 820135534 1230203301 1640271068 2050338835 2460406602 4100677670 4920813204 6151016505 8201355340 12302033010 24604066020