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4612198656 = 28313659701
BaseRepresentation
bin1000100101110100…
…01001000100000000
3102220102122222010110
410102322021010000
533421210324111
62041355231320
7222203020212
oct42272110400
912812588113
104612198656
111a5751412a
12a88748540
135866cb840
1431a7945b2
151beda25a6
hex112e89100

4612198656 has 144 divisors (see below), whose sum is σ = 13258365120. Its totient is φ = 1414963200.

The previous prime is 4612198649. The next prime is 4612198699. The reversal of 4612198656 is 6568912164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579106 + ... + 6579806.

It is an arithmetic number, because the mean of its divisors is an integer number (92071980).

Almost surely, 24612198656 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 4612198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629182560).

4612198656 is an abundant number, since it is smaller than the sum of its proper divisors (8646166464).

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

4612198656 is a wasteful number, since it uses less digits than its factorization.

4612198656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1378 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 4612198656 is about 67913.1699746080. The cubic root of 4612198656 is about 1664.5723191586.

The spelling of 4612198656 in words is "four billion, six hundred twelve million, one hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 659 701 768 832 1248 1318 1402 1664 1977 2103 2496 2636 2804 3328 3954 4206 4992 5272 5608 7908 8412 8567 9113 9984 10544 11216 15816 16824 17134 18226 21088 22432 25701 27339 31632 33648 34268 36452 42176 44864 51402 54678 63264 67296 68536 72904 84352 89728 102804 109356 126528 134592 137072 145808 168704 179456 205608 218712 253056 269184 274144 291616 411216 437424 461959 506112 538368 548288 583232 822432 874848 923918 1096576 1166464 1385877 1644864 1749696 1847836 2193152 2332928 2771754 3289728 3499392 3695672 5543508 6005467 6579456 6998784 7391344 11087016 12010934 14782688 18016401 22174032 24021868 29565376 36032802 44348064 48043736 59130752 72065604 88696128 96087472 118261504 144131208 177392256 192174944 288262416 354784512 384349888 576524832 768699776 1153049664 1537399552 2306099328 4612198656