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980950509 = 327112128683
BaseRepresentation
bin111010011110000…
…001110111101101
32112100211110010100
4322132001313231
54002110404014
6241201101313
733210641010
oct7236016755
92470743110
10980950509
114637a2700
12234627839
131282ca5b6
14943cd377
155b1bc009
hex3a781ded

980950509 has 36 divisors (see below), whose sum is σ = 1779957088. Its totient is φ = 509580720.

The previous prime is 980950469. The next prime is 980950513. The reversal of 980950509 is 905059089.

980950509 is a `hidden beast` number, since 98 + 0 + 9 + 50 + 509 = 666.

It is not a de Polignac number, because 980950509 - 212 = 980946413 is a prime.

It is a super-2 number, since 2×9809505092 = 1924527802214718162, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980950519) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56719 + ... + 71964.

Almost surely, 2980950509 is an apocalyptic number.

980950509 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

980950509 is a deficient number, since it is larger than the sum of its proper divisors (799006579).

980950509 is a wasteful number, since it uses less digits than its factorization.

980950509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128718 (or 128704 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 980950509 is about 31320.1294537555. The cubic root of 980950509 is about 993.6094171132.

The spelling of 980950509 in words is "nine hundred eighty million, nine hundred fifty thousand, five hundred nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 128683 386049 900781 1158147 1415513 2702343 4246539 8107029 9908591 12739617 15570643 29725773 46711929 89177319 108994501 140135787 326983503 980950509