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32480540532 = 223211315235059
BaseRepresentation
bin11110001111111111…
…011011011101110100
310002211121212102021200
4132033333123131310
51013010004244112
622531002412500
72226620016306
oct361777333564
9102747772250
1032480540532
1112858466930
126365801130
1330a827016b
141801a71976
15ca17adcdc
hex78ffdb774

32480540532 has 144 divisors (see below), whose sum is σ = 92651919360. Its totient is φ = 9504993600.

The previous prime is 32480540483. The next prime is 32480540537. The reversal of 32480540532 is 23504508423.

32480540532 is a `hidden beast` number, since 3 + 2 + 4 + 80 + 5 + 40 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32480540537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6417819 + ... + 6422877.

Almost surely, 232480540532 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 32480540532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46325959680).

32480540532 is an abundant number, since it is smaller than the sum of its proper divisors (60171378828).

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

32480540532 is a wasteful number, since it uses less digits than its factorization.

32480540532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 32480540532 in words is "thirty-two billion, four hundred eighty million, five hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 523 558 682 1023 1046 1116 1364 1569 2046 2092 3069 3138 4092 4707 5059 5753 6138 6276 9414 10118 11506 12276 15177 16213 17259 18828 20236 23012 30354 32426 34518 45531 48639 51777 55649 60708 64852 69036 91062 97278 103554 111298 145917 156829 166947 178343 182124 194556 207108 222596 291834 313658 333894 356686 470487 500841 535029 583668 627316 667788 713372 940974 1001682 1070058 1411461 1605087 1725119 1881948 2003364 2140116 2645857 2822922 3210174 3450238 5175357 5291714 5645844 6420348 6900476 7937571 10350714 10583428 15526071 15875142 20701428 23812713 29104427 31052142 31750284 47625426 58208854 62104284 82021567 87313281 95250852 116417708 164043134 174626562 246064701 261939843 328086268 349253124 492129402 523879686 738194103 902237237 984258804 1047759372 1476388206 1804474474 2706711711 2952776412 3608948948 5413423422 8120135133 10826846844 16240270266 32480540532