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4718928984 = 2337119112803
BaseRepresentation
bin1000110010100010…
…10010010001011000
3110011212111102121120
410121101102101120
534131021211414
62100131005240
7224640143310
oct43121222130
913155442546
104718928984
112001792210
12ab8439820
135a285a893
1432aa18440
151c94362a9
hex119452458

4718928984 has 128 divisors (see below), whose sum is σ = 14729748480. Its totient is φ = 1223913600.

The previous prime is 4718928983. The next prime is 4718928997. The reversal of 4718928984 is 4898298174.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4718928983) 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, 1682127 + ... + 1684929.

It is an arithmetic number, because the mean of its divisors is an integer number (115076160).

Almost surely, 24718928984 is an apocalyptic number.

4718928984 is a gapful number since it is divisible by the number (44) 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 4718928984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364874240).

4718928984 is an abundant number, since it is smaller than the sum of its proper divisors (10010819496).

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

4718928984 is a wasteful number, since it uses less digits than its factorization.

4718928984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3737 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The square root of 4718928984 is about 68694.4610867572. The cubic root of 4718928984 is about 1677.3144195441.

The spelling of 4718928984 in words is "four billion, seven hundred eighteen million, nine hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 911 924 1822 1848 2733 2803 3644 5466 5606 6377 7288 8409 10021 10932 11212 12754 16818 19131 19621 20042 21864 22424 25508 30063 30833 33636 38262 39242 40084 51016 58863 60126 61666 67272 70147 76524 78484 80168 92499 117726 120252 123332 140294 153048 156968 184998 210441 215831 235452 240504 246664 280588 369996 420882 431662 470904 561176 647493 739992 841764 863324 1294986 1683528 1726648 2553533 2589972 5107066 5179944 7660599 10214132 15321198 17874731 20428264 28088863 30642396 35749462 53624193 56177726 61284792 71498924 84266589 107248386 112355452 142997848 168533178 196622041 214496772 224710904 337066356 393244082 428993544 589866123 674132712 786488164 1179732246 1572976328 2359464492 4718928984