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53172724752 = 243472837313
BaseRepresentation
bin110001100001010101…
…110110010000010000
312002020200212021210000
4301201111312100100
51332344204143002
640232140010000
73561445463100
oct614125662020
9162220767700
1053172724752
1120606687124
12a37b530900
13502517b854
142805c59200
1515b31a661c
hexc61576410

53172724752 has 150 divisors (see below), whose sum is σ = 179023594398. Its totient is φ = 15192188928.

The previous prime is 53172724751. The next prime is 53172724769. The reversal of 53172724752 is 25742727135.

53172724752 is a `hidden beast` number, since 5 + 3 + 172 + 7 + 2 + 475 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51781733136 + 1390991616 = 227556^2 + 37296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53172724698 and 53172724707.

It is not an unprimeable number, because it can be changed into a prime (53172724751) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 355153 + ... + 482160.

Almost surely, 253172724752 is an apocalyptic number.

It is an amenable number.

53172724752 is an abundant number, since it is smaller than the sum of its proper divisors (125850869646).

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

53172724752 is a wasteful number, since it uses less digits than its factorization.

53172724752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837347 (or 837325 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

It can be divided in two parts, 53172 and 724752, that added together give a square (777924 = 8822).

The spelling of 53172724752 in words is "fifty-three billion, one hundred seventy-two million, seven hundred twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 837313 1674626 2511939 3349252 5023878 5861191 6698504 7535817 10047756 11722382 13397008 15071634 17583573 20095512 22607451 23444764 30143268 35167146 40191024 41028337 45214902 46889528 52750719 60286536 67822353 70334292 82056674 90429804 93779056 105501438 120573072 123085011 135644706 140668584 158252157 164113348 180859608 211002876 246170022 271289412 281337168 316504314 328226696 361719216 369255033 422005752 474756471 492340044 542578824 633008628 656453392 738510066 844011504 949512942 984680088 1085157648 1107765099 1266017256 1477020132 1899025884 1969360176 2215530198 2532034512 2954040264 3323295297 3798051768 4431060396 5908080528 6646590594 7596103536 8862120792 13293181188 17724241584 26586362376 53172724752