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24130136352 = 2537157228713
BaseRepresentation
bin10110011110010001…
…001010100100100000
32022021200002221012210
4112132101022210200
5343404303330402
615030224322120
71512652526520
oct263621124440
968250087183
1024130136352
11a262918653
124815173340
132377261bba
14124ca33680
1596364a06c
hex59e44a920

24130136352 has 96 divisors (see below), whose sum is σ = 72851812992. Its totient is φ = 6850381824.

The previous prime is 24130136333. The next prime is 24130136357. The reversal of 24130136352 is 25363103142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×241301363522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24130136357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8853 + ... + 219860.

It is an arithmetic number, because the mean of its divisors is an integer number (758873052).

Almost surely, 224130136352 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 24130136352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36425906496).

24130136352 is an abundant number, since it is smaller than the sum of its proper divisors (48721676640).

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

24130136352 is a wasteful number, since it uses less digits than its factorization.

24130136352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228890 (or 228882 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 24130136352 its reverse (25363103142), we get a palindrome (49493239494).

The spelling of 24130136352 in words is "twenty-four billion, one hundred thirty million, one hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 157 168 224 314 336 471 628 672 942 1099 1256 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 13188 15072 17584 26376 35168 52752 105504 228713 457426 686139 914852 1372278 1600991 1829704 2744556 3201982 3659408 4802973 5489112 6403964 7318816 9605946 10978224 12807928 19211892 21956448 25615856 35907941 38423784 51231712 71815882 76847568 107723823 143631764 153695136 215447646 251355587 287263528 430895292 502711174 574527056 754066761 861790584 1005422348 1149054112 1508133522 1723581168 2010844696 3016267044 3447162336 4021689392 6032534088 8043378784 12065068176 24130136352