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32463312240 = 2435295478527
BaseRepresentation
bin11110001110111101…
…101101010101110000
310002210102110010111210
4132032331231111300
51012441101442430
622525145240120
72226320413122
oct361675552560
9102712403453
1032463312240
1112849769a77
12635ba93040
1330a481a4c8
1417dd669212
15ca00092b0
hex78ef6d570

32463312240 has 160 divisors (see below), whose sum is σ = 104309038080. Its totient is φ = 8342111232.

The previous prime is 32463312191. The next prime is 32463312247. The reversal of 32463312240 is 4221336423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32463312198 and 32463312207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32463312247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3802857 + ... + 3811383.

It is an arithmetic number, because the mean of its divisors is an integer number (651931488).

Almost surely, 232463312240 is an apocalyptic number.

32463312240 is a gapful number since it is divisible by the number (30) 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 32463312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52154519040).

32463312240 is an abundant number, since it is smaller than the sum of its proper divisors (71845725840).

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

32463312240 is a wasteful number, since it uses less digits than its factorization.

32463312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 32463312240 its reverse (4221336423), we get a palindrome (36684648663).

The spelling of 32463312240 in words is "thirty-two billion, four hundred sixty-three million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 547 580 696 870 1094 1160 1392 1641 1740 2188 2320 2735 3282 3480 4376 5470 6564 6960 8205 8527 8752 10940 13128 15863 16410 17054 21880 25581 26256 31726 32820 34108 42635 43760 47589 51162 63452 65640 68216 79315 85270 95178 102324 126904 127905 131280 136432 158630 170540 190356 204648 237945 247283 253808 255810 317260 341080 380712 409296 475890 494566 511620 634520 682160 741849 761424 951780 989132 1023240 1236415 1269040 1483698 1903560 1978264 2046480 2472830 2967396 3709245 3807120 3956528 4664269 4945660 5934792 7418490 9328538 9891320 11869584 13992807 14836980 18657076 19782640 23321345 27985614 29673960 37314152 46642690 55971228 59347920 69964035 74628304 93285380 111942456 135263801 139928070 186570760 223884912 270527602 279856140 373141520 405791403 541055204 559712280 676319005 811582806 1082110408 1119424560 1352638010 1623165612 2028957015 2164220816 2705276020 3246331224 4057914030 5410552040 6492662448 8115828060 10821104080 16231656120 32463312240