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63432107024 = 241113531094799
BaseRepresentation
bin111011000100110110…
…010010010000010000
320001201200200220111012
4323010312102100100
52014402104411044
645050150110052
74403623004426
oct730466222020
9201650626435
1063432107024
11249a0852950
121036334b328
135c9b815050
1430da61b116
1519b3bed59e
hexec4d92410

63432107024 has 160 divisors (see below), whose sum is σ = 148490496000. Its totient is φ = 25867745280.

The previous prime is 63432107017. The next prime is 63432107059. The reversal of 63432107024 is 42070123436.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13215377 + ... + 13220175.

It is an arithmetic number, because the mean of its divisors is an integer number (928065600).

Almost surely, 263432107024 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 63432107024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248000).

63432107024 is an abundant number, since it is smaller than the sum of its proper divisors (85058388976).

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

63432107024 is a wasteful number, since it uses less digits than its factorization.

63432107024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 63432107024 in words is "sixty-three billion, four hundred thirty-two million, one hundred seven thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 88 104 106 109 143 176 208 212 218 286 424 436 572 583 689 848 872 1144 1166 1199 1378 1417 1744 2288 2332 2398 2756 2834 4664 4796 4799 5512 5668 5777 7579 9328 9592 9598 11024 11336 11554 15158 15587 19184 19196 22672 23108 30316 31174 38392 46216 52789 60632 62348 62387 63547 75101 76784 92432 105578 121264 124696 124774 127094 150202 211156 249392 249548 254188 254347 300404 422312 499096 508376 508694 523091 600808 686257 826111 844624 998192 1016752 1017388 1046182 1201616 1372514 1652222 2034776 2092364 2745028 2797817 3304444 3306511 4069552 4184728 5490056 5595634 5754001 6608888 6613022 6800183 8369456 10980112 11191268 11508002 13217776 13226044 13600366 22382536 23016004 26452088 27200732 27723823 36371621 44765072 46032008 52904176 54401464 55447646 72743242 74802013 92064016 108802928 110895292 145486484 149604026 221790584 290972968 299208052 304962053 360409699 443581168 581945936 598416104 609924106 720819398 1196832208 1219848212 1441638796 2439696424 2883277592 3964506689 4879392848 5766555184 7929013378 15858026756 31716053512 63432107024