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8998121040 = 243543386587
BaseRepresentation
bin10000110000101010…
…00110111001010000
3212020002112220120020
420120111012321100
5121412004333130
64044512543440
7435660524016
oct103025067120
925202486506
108998121040
1138a8228577
1218b1551b80
13b05272c9c
146150868b6
15379e59e10
hex218546e50

8998121040 has 80 divisors (see below), whose sum is σ = 27958918848. Its totient is φ = 2393929728.

The previous prime is 8998121003. The next prime is 8998121053. The reversal of 8998121040 is 401218998.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8998120983 and 8998121001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60627 + ... + 147213.

Almost surely, 28998121040 is an apocalyptic number.

8998121040 is a gapful number since it is divisible by the number (80) 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 8998121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979459424).

8998121040 is an abundant number, since it is smaller than the sum of its proper divisors (18960797808).

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

8998121040 is a wasteful number, since it uses less digits than its factorization.

8998121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87036 (or 87030 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 8998121040 is about 94858.4262994068. The cubic root of 8998121040 is about 2079.9390576326.

The spelling of 8998121040 in words is "eight billion, nine hundred ninety-eight million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 433 866 1299 1732 2165 2598 3464 4330 5196 6495 6928 8660 10392 12990 17320 20784 25980 34640 51960 86587 103920 173174 259761 346348 432935 519522 692696 865870 1039044 1298805 1385392 1731740 2078088 2597610 3463480 4156176 5195220 6926960 10390440 20780880 37492171 74984342 112476513 149968684 187460855 224953026 299937368 374921710 449906052 562382565 599874736 749843420 899812104 1124765130 1499686840 1799624208 2249530260 2999373680 4499060520 8998121040