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136553165540 = 2251110122212767
BaseRepresentation
bin111111100101100110…
…0111111001011100100
3111001110121212112202122
41333023030333023210
54214130102244130
6142422012125112
712602625520151
oct1771314771344
9431417775678
10136553165540
1152a0377a420
122256b466798
13cb5274b88c
14687594d228
1538433172e5
hex1fcb33f2e4

136553165540 has 96 divisors (see below), whose sum is σ = 316184698368. Its totient is φ = 49124160000.

The previous prime is 136553165537. The next prime is 136553165579. The reversal of 136553165540 is 45561355631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 136553165491 and 136553165500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49349237 + ... + 49352003.

It is an arithmetic number, because the mean of its divisors is an integer number (3293590608).

Almost surely, 2136553165540 is an apocalyptic number.

136553165540 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 136553165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158092349184).

136553165540 is an abundant number, since it is smaller than the sum of its proper divisors (179631532828).

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

136553165540 is a wasteful number, since it uses less digits than its factorization.

136553165540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 136553165540 in words is "one hundred thirty-six billion, five hundred fifty-three million, one hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2221 2222 2767 4442 4444 5534 5555 8884 11068 11105 11110 13835 22210 22220 24431 27670 30437 44420 48862 55340 60874 97724 121748 122155 152185 224321 244310 279467 304370 448642 488620 558934 608740 897284 1117868 1121605 1397335 2243210 2467531 2794670 3074137 4486420 4935062 5589340 6145507 6148274 9870124 12291014 12296548 12337655 15370685 24582028 24675310 30727535 30741370 49350620 61455070 61482740 67600577 122910140 135201154 270402308 338002885 620696207 676005770 1241392414 1352011540 2482784828 3103481035 6206962070 6827658277 12413924140 13655316554 27310633108 34138291385 68276582770 136553165540