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2988610056 = 233231247919
BaseRepresentation
bin1011001000100010…
…1001001000001000
321201021121010021100
42302020221020020
522110041010211
61212320141400
7134026523565
oct26210511010
97637533240
102988610056
1112a3aa0a73
126b4a67860
13388227123
14204cbd86c
15127594156
hexb2229208

2988610056 has 144 divisors (see below), whose sum is σ = 8550921600. Its totient is φ = 942528960.

The previous prime is 2988610039. The next prime is 2988610067. The reversal of 2988610056 is 6500168892.

2988610056 is a `hidden beast` number, since 29 + 8 + 8 + 610 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2988609993 and 2988610020.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3251565 + ... + 3252483.

It is an arithmetic number, because the mean of its divisors is an integer number (59381400).

Almost surely, 22988610056 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 2988610056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275460800).

2988610056 is an abundant number, since it is smaller than the sum of its proper divisors (5562311544).

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

2988610056 is a wasteful number, since it uses less digits than its factorization.

2988610056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2988610056 is about 54668.1813855189. The cubic root of 2988610056 is about 1440.4220175119.

The spelling of 2988610056 in words is "two billion, nine hundred eighty-eight million, six hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 919 961 1116 1128 1457 1692 1838 1922 2232 2757 2883 2914 3384 3676 3844 4371 5514 5766 5828 7352 7688 8271 8649 8742 11028 11532 11656 13113 16542 17298 17484 22056 23064 26226 28489 33084 34596 34968 43193 45167 52452 56978 66168 69192 85467 86386 90334 104904 113956 129579 135501 170934 172772 180668 227912 256401 259158 271002 341868 345544 361336 388737 406503 512802 518316 542004 683736 777474 813006 883159 1025604 1036632 1084008 1338983 1554948 1626012 1766318 2051208 2649477 2677966 3109896 3252024 3532636 4016949 5298954 5355932 7065272 7948431 8033898 10597908 10711864 12050847 15896862 16067796 21195816 24101694 31793724 32135592 41508473 48203388 63587448 83016946 96406776 124525419 166033892 249050838 332067784 373576257 498101676 747152514 996203352 1494305028 2988610056