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13235472640 = 285131276263
BaseRepresentation
bin11000101001110010…
…10100100100000000
31021011101212200012101
430110321110210000
5204101240111030
610025202040144
7645662442535
oct142471244400
937141780171
1013235472640
115682096545
122694649054
13132c0c8c20
148d7b42d8c
15526e667ca
hex314e54900

13235472640 has 144 divisors (see below), whose sum is σ = 34416119808. Its totient is φ = 4847689728.

The previous prime is 13235472631. The next prime is 13235472641. The reversal of 13235472640 is 4627453231.

It is a self number, because there is not a number n which added to its sum of digits gives 13235472640.

It is not an unprimeable number, because it can be changed into a prime (13235472641) 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, 2110149 + ... + 2116411.

It is an arithmetic number, because the mean of its divisors is an integer number (239000832).

Almost surely, 213235472640 is an apocalyptic number.

13235472640 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 13235472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208059904).

13235472640 is an abundant number, since it is smaller than the sum of its proper divisors (21180647168).

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

13235472640 is a wasteful number, since it uses less digits than its factorization.

13235472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 13235472640 in words is "thirteen billion, two hundred thirty-five million, four hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 256 260 320 416 508 520 635 640 832 1016 1040 1270 1280 1651 1664 2032 2080 2540 3302 3328 4064 4160 5080 6263 6604 8128 8255 8320 10160 12526 13208 16256 16510 16640 20320 25052 26416 31315 32512 33020 40640 50104 52832 62630 66040 81280 81419 100208 105664 125260 132080 162560 162838 200416 211328 250520 264160 325676 400832 407095 422656 501040 528320 651352 795401 801664 814190 1002080 1056640 1302704 1590802 1603328 1628380 2004160 2113280 2605408 3181604 3256760 3977005 4008320 5210816 6363208 6513520 7954010 8016640 10340213 10421632 12726416 13027040 15908020 20680426 20843264 25452832 26054080 31816040 41360852 50905664 51701065 52108160 63632080 82721704 101811328 103402130 104216320 127264160 165443408 203622656 206804260 254528320 330886816 413608520 509056640 661773632 827217040 1018113280 1323547264 1654434080 2647094528 3308868160 6617736320 13235472640