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16998415040 = 265499106453
BaseRepresentation
bin11111101010010111…
…10011101011000000
31121212122111221202102
433311023303223000
5234303043240130
611450423005532
71141144100225
oct176513635300
947778457672
1016998415040
1172331868a2
1233648998a8
1317ab889b69
14b737c994c
156974b2645
hex3f52f3ac0

16998415040 has 56 divisors (see below), whose sum is σ = 40558974000. Its totient is φ = 6785676288.

The previous prime is 16998414997. The next prime is 16998415061. The reversal of 16998415040 is 4051489961.

It is a super-2 number, since 2×169984150402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106454 + ... + 212906.

Almost surely, 216998415040 is an apocalyptic number.

16998415040 is a gapful number since it is divisible by the number (10) 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 16998415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279487000).

16998415040 is an abundant number, since it is smaller than the sum of its proper divisors (23560558960).

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

16998415040 is a wasteful number, since it uses less digits than its factorization.

16998415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106969 (or 106959 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 16998415040 in words is "sixteen billion, nine hundred ninety-eight million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 499 998 1996 2495 3992 4990 7984 9980 15968 19960 31936 39920 79840 106453 159680 212906 425812 532265 851624 1064530 1703248 2129060 3406496 4258120 6812992 8516240 17032480 34064960 53120047 106240094 212480188 265600235 424960376 531200470 849920752 1062400940 1699841504 2124801880 3399683008 4249603760 8499207520 16998415040