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1661002848 = 25342412659
BaseRepresentation
bin110001100000000…
…1110010001100000
311021202110200120000
41203000032101200
511400204042343
6432453020000
756106201621
oct14300162140
94252420500
101661002848
1178265802a
123a4324600
1320617432b
1411a853a48
159ac4ded3
hex6300e460

1661002848 has 120 divisors (see below), whose sum is σ = 4907077560. Its totient is φ = 551162880.

The previous prime is 1661002843. The next prime is 1661002859. The reversal of 1661002848 is 8482001661.

1661002848 is a `hidden beast` number, since 16 + 610 + 0 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×16610028482 = 5517860922128222208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661002843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 623343 + ... + 626001.

It is an arithmetic number, because the mean of its divisors is an integer number (40892313).

Almost surely, 21661002848 is an apocalyptic number.

1661002848 is a gapful number since it is divisible by the number (18) 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 1661002848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453538780).

1661002848 is an abundant number, since it is smaller than the sum of its proper divisors (3246074712).

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

1661002848 is a wasteful number, since it uses less digits than its factorization.

1661002848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1661002848 is about 40755.4026847975. The cubic root of 1661002848 is about 1184.2865373582.

The spelling of 1661002848 in words is "one billion, six hundred sixty-one million, two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 241 288 324 432 482 648 723 864 964 1296 1446 1928 2169 2592 2659 2892 3856 4338 5318 5784 6507 7712 7977 8676 10636 11568 13014 15954 17352 19521 21272 23136 23931 26028 31908 34704 39042 42544 47862 52056 63816 69408 71793 78084 85088 95724 104112 127632 143586 156168 191448 208224 215379 255264 287172 312336 382896 430758 574344 624672 640819 765792 861516 1148688 1281638 1723032 1922457 2297376 2563276 3446064 3844914 5126552 5767371 6892128 7689828 10253104 11534742 15379656 17302113 20506208 23069484 30759312 34604226 46138968 51906339 61518624 69208452 92277936 103812678 138416904 184555872 207625356 276833808 415250712 553667616 830501424 1661002848