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998510064 = 243413131621
BaseRepresentation
bin111011100001000…
…000110111110000
32120120212120022020
4323201000313300
54021104310224
6243025311440
733513124026
oct7341006760
92516776266
10998510064
114726a6432
1223a495580
1312bb37c76
1496880716
155c9d9c79
hex3b840df0

998510064 has 80 divisors (see below), whose sum is σ = 2652476064. Its totient is φ = 323481600.

The previous prime is 998510057. The next prime is 998510077. The reversal of 998510064 is 460015899.

It is a junction number, because it is equal to n+sod(n) for n = 998509998 and 998510025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615174 + ... + 616794.

Almost surely, 2998510064 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 998510064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326238032).

998510064 is an abundant number, since it is smaller than the sum of its proper divisors (1653966000).

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

998510064 is a wasteful number, since it uses less digits than its factorization.

998510064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 998510064 is about 31599.2098635393. The cubic root of 998510064 is about 999.5031078057.

The spelling of 998510064 in words is "nine hundred ninety-eight million, five hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 313 328 492 626 656 939 984 1252 1621 1878 1968 2504 3242 3756 4863 5008 6484 7512 9726 12833 12968 15024 19452 25666 25936 38499 38904 51332 66461 76998 77808 102664 132922 153996 199383 205328 265844 307992 398766 507373 531688 615984 797532 1014746 1063376 1522119 1595064 2029492 3044238 3190128 4058984 6088476 8117968 12176952 20802293 24353904 41604586 62406879 83209172 124813758 166418344 249627516 332836688 499255032 998510064