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32730326944 = 2572791312017
BaseRepresentation
bin11110011110111000…
…010010011110100000
310010111000212212211021
4132132320102132200
51014012430430234
623011444255224
72236042121500
oct363670223640
9103430785737
1032730326944
1112976464087
1264153a1514
133117c39583
141826cd3a00
15cb869e9b4
hex79ee127a0

32730326944 has 144 divisors (see below), whose sum is σ = 76524497280. Its totient is φ = 13737185280.

The previous prime is 32730326929. The next prime is 32730326983. The reversal of 32730326944 is 44962303723.

It is a super-2 number, since 2×327303269442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32730326944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16226224 + ... + 16228240.

It is an arithmetic number, because the mean of its divisors is an integer number (531420120).

Almost surely, 232730326944 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 32730326944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38262248640).

32730326944 is an abundant number, since it is smaller than the sum of its proper divisors (43794170336).

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

32730326944 is a wasteful number, since it uses less digits than its factorization.

32730326944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 43.

The spelling of 32730326944 in words is "thirty-two billion, seven hundred thirty million, three hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 131 158 196 224 262 316 392 524 553 632 784 917 1048 1106 1264 1568 1834 2017 2096 2212 2528 3668 3871 4034 4192 4424 6419 7336 7742 8068 8848 10349 12838 14119 14672 15484 16136 17696 20698 25676 28238 29344 30968 32272 41396 51352 56476 61936 64544 72443 82792 98833 102704 112952 123872 144886 159343 165584 197666 205408 225904 264227 289772 318686 331168 395332 451808 507101 528454 579544 637372 790664 1014202 1056908 1115401 1159088 1274744 1581328 1849589 2028404 2113816 2230802 2318176 2549488 3162656 3699178 4056808 4227632 4461604 5098976 7398356 7807807 8113616 8455264 8923208 12947123 14796712 15615614 16227232 17846416 20873933 25894246 29593424 31231228 35692832 41747866 51788492 59186848 62462456 83495732 103576984 124924912 146117531 166991464 207153968 249849824 292235062 333982928 414307936 584470124 667965856 1022822717 1168940248 2045645434 2337880496 4091290868 4675760992 8182581736 16365163472 32730326944