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11640980500 = 2253315471373
BaseRepresentation
bin10101101011101101…
…10100010000010100
31010001021120002011221
422311312310100110
5142320042334000
65203042340124
7561321462442
oct126566642024
933037502157
1011640980500
114a34036a46
12230a65a644
131136971156
147c6083b92
15481ea461a
hex2b5db4414

11640980500 has 96 divisors (see below), whose sum is σ = 26311154688. Its totient is φ = 4494672000.

The previous prime is 11640980497. The next prime is 11640980521. The reversal of 11640980500 is 508904611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8477814 + ... + 8479186.

It is an arithmetic number, because the mean of its divisors is an integer number (274074528).

Almost surely, 211640980500 is an apocalyptic number.

11640980500 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 11640980500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155577344).

11640980500 is an abundant number, since it is smaller than the sum of its proper divisors (14670174188).

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

11640980500 is a wasteful number, since it uses less digits than its factorization.

11640980500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 11640980500 in words is "eleven billion, six hundred forty million, nine hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 547 620 775 1094 1373 1550 2188 2735 2746 3100 3875 5470 5492 6865 7750 10940 13675 13730 15500 16957 27350 27460 33914 34325 42563 54700 67828 68375 68650 84785 85126 136750 137300 169570 170252 171625 212815 273500 339140 343250 423925 425630 686500 751031 847850 851260 1064075 1502062 1695700 2119625 2128150 3004124 3755155 4239250 4256300 5320375 7510310 8478500 10640750 15020620 18775775 21281500 23281961 37551550 46563922 75103100 93127844 93878875 116409805 187757750 232819610 375515500 465639220 582049025 1164098050 2328196100 2910245125 5820490250 11640980500