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135104113664 = 2101342124107
BaseRepresentation
bin111110111010011010…
…1010010110000000000
3110220201122020002021122
41331310311102300000
54203143123114124
6142022130011412
712522002006132
oct1756465226000
9426648202248
10135104113664
115232a828293
1222226116b68
13c981487430
14677930d052
1537aaed375e
hex1f74d52c00

135104113664 has 88 divisors (see below), whose sum is σ = 291554341008. Its totient is φ = 62205050880.

The previous prime is 135104113657. The next prime is 135104113667. The reversal of 135104113664 is 466311401531.

It is not an unprimeable number, because it can be changed into a prime (135104113667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5592299 + ... + 5616405.

Almost surely, 2135104113664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135104113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145777170504).

135104113664 is an abundant number, since it is smaller than the sum of its proper divisors (156450227344).

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

135104113664 is a wasteful number, since it uses less digits than its factorization.

135104113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24561 (or 24543 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 135104113664 in words is "one hundred thirty-five billion, one hundred four million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 421 512 832 842 1024 1664 1684 3328 3368 5473 6656 6736 10946 13312 13472 21892 24107 26944 43784 48214 53888 87568 96428 107776 175136 192856 215552 313391 350272 385712 431104 626782 700544 771424 1253564 1401088 1542848 2507128 2802176 3085696 5014256 5604352 6171392 10028512 10149047 12342784 20057024 20298094 24685568 40114048 40596188 80228096 81192376 131937611 160456192 162384752 263875222 320912384 324769504 527750444 649539008 1055500888 1299078016 2111001776 2598156032 4222003552 5196312064 8444007104 10392624128 16888014208 33776028416 67552056832 135104113664