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135824754648 = 233116717942899
BaseRepresentation
bin111111001111111001…
…0010100011111011000
3110222120212020102212110
41332133302110133120
54211132114122043
6142221431512320
712545602236222
oct1763762243730
9428525212773
10135824754648
115266a595550
12223a75286a0
13ca6787290b
146806cdb412
1537ee3d1b33
hex1f9fc947d8

135824754648 has 128 divisors (see below), whose sum is σ = 378069120000. Its totient is φ = 40317256320.

The previous prime is 135824754631. The next prime is 135824754649. The reversal of 135824754648 is 846457428531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135824754649) by changing a digit.

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, 3144703 + ... + 3187601.

It is an arithmetic number, because the mean of its divisors is an integer number (2953665000).

Almost surely, 2135824754648 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 135824754648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560000).

135824754648 is an abundant number, since it is smaller than the sum of its proper divisors (242244365352).

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

135824754648 is a wasteful number, since it uses less digits than its factorization.

135824754648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43165 (or 43161 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 57.

The spelling of 135824754648 in words is "one hundred thirty-five billion, eight hundred twenty-four million, seven hundred fifty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 179 201 264 268 358 402 536 537 716 737 804 1074 1432 1474 1608 1969 2148 2211 2948 3938 4296 4422 5896 5907 7876 8844 11814 11993 15752 17688 23628 23986 35979 42899 47256 47972 71958 85798 95944 128697 131923 143916 171596 257394 263846 287832 343192 395769 471889 514788 527692 791538 943778 1029576 1055384 1415667 1583076 1887556 2831334 2874233 3166152 3775112 5662668 5748466 7678921 8622699 11325336 11496932 15357842 17245398 22993864 23036763 30715684 31616563 34490796 46073526 61431368 63233126 68981592 84468131 92147052 94849689 126466252 168936262 184294104 189699378 252932504 253404393 337872524 379398756 506808786 514487707 675745048 758797512 1013617572 1028975414 1543463121 2027235144 2057950828 3086926242 4115901656 5659364777 6173852484 11318729554 12347704968 16978094331 22637459108 33956188662 45274918216 67912377324 135824754648