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11611116240 = 2435274917599
BaseRepresentation
bin10101101000001001…
…11001001011010000
31002222012100211010020
422310010321023100
5142234421204430
65200054303440
7560506600563
oct126404711320
932865324106
1011611116240
114a19199539
122300657b80
131130715ba9
147c210c4da
1547e555b10
hex2b41392d0

11611116240 has 80 divisors (see below), whose sum is σ = 36009600000. Its totient is φ = 3094995456.

The previous prime is 11611116227. The next prime is 11611116299. The reversal of 11611116240 is 4261111611.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11611116240.

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, 650961 + ... + 668559.

It is an arithmetic number, because the mean of its divisors is an integer number (450120000).

Almost surely, 211611116240 is an apocalyptic number.

11611116240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11611116240 is an abundant number, since it is smaller than the sum of its proper divisors (24398483760).

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

11611116240 is a wasteful number, since it uses less digits than its factorization.

11611116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20364 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 11611116240 its reverse (4261111611), we get a palindrome (15872227851).

The spelling of 11611116240 in words is "eleven billion, six hundred eleven million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2749 5498 8247 10996 13745 16494 17599 21992 27490 32988 35198 41235 43984 52797 54980 65976 70396 82470 87995 105594 109960 131952 140792 164940 175990 211188 219920 263985 281584 329880 351980 422376 527970 659760 703960 844752 1055940 1407920 2111880 4223760 48379651 96759302 145138953 193518604 241898255 290277906 387037208 483796510 580555812 725694765 774074416 967593020 1161111624 1451389530 1935186040 2322223248 2902779060 3870372080 5805558120 11611116240