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998728478240 = 25543448332381
BaseRepresentation
bin11101000100010001101…
…10110010111000100000
310112110220002211102112112
432202020312302320200
5112330343442300430
62042450505214452
7132104264665343
oct16421066627040
93473802742475
10998728478240
11355616209869
12141688191428
1373244a21cbc
14364a561a45a
151aea4cee195
hexe888db2e20

998728478240 has 96 divisors (see below), whose sum is σ = 2414981169216. Its totient is φ = 390101806080.

The previous prime is 998728478227. The next prime is 998728478249. The reversal of 998728478240 is 42874827899.

It is not an unprimeable number, because it can be changed into a prime (998728478249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30826850 + ... + 30859230.

It is an arithmetic number, because the mean of its divisors is an integer number (25156053846).

Almost surely, 2998728478240 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 998728478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207490584608).

998728478240 is an abundant number, since it is smaller than the sum of its proper divisors (1416252690976).

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

998728478240 is a wasteful number, since it uses less digits than its factorization.

998728478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36922 (or 36914 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 68.

The spelling of 998728478240 in words is "nine hundred ninety-eight billion, seven hundred twenty-eight million, four hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 4483 6880 8966 17932 22415 32381 35864 44830 64762 71728 89660 129524 143456 161905 179320 192769 259048 323810 358640 385538 518096 647620 717280 771076 963845 1036192 1295240 1392383 1542152 1927690 2590480 2784766 3084304 3855380 5180960 5569532 6168608 6961915 7710760 11139064 13923830 15421520 22278128 27847660 30843040 44556256 55695320 111390640 145164023 222781280 290328046 580656092 725820115 1161312184 1451640230 2322624368 2903280460 4645248736 5806560920 6242052989 11613121840 12484105978 23226243680 24968211956 31210264945 49936423912 62420529890 99872847824 124841059780 199745695648 249682119560 499364239120 998728478240