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5307571661100 = 22352196101152623
BaseRepresentation
bin100110100111100001111…
…1011000110100100101100
3200210101202210110101112220
41031033003323012210230
51143424401321123400
615142133104355340
71055313400513302
oct115170373064454
920711683411486
105307571661100
111766a2391a915
12718787015b50
132c666a7817c7
14144c60332272
15930de9ba7a0
hex4d3c3ec692c

5307571661100 has 144 divisors (see below), whose sum is σ = 16167570209280. Its totient is φ = 1340631648000.

The previous prime is 5307571661083. The next prime is 5307571661101. The reversal of 5307571661100 is 11661757035.

It is not an unprimeable number, because it can be changed into a prime (5307571661101) 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, 34699389 + ... + 34852011.

It is an arithmetic number, because the mean of its divisors is an integer number (112274793120).

Almost surely, 25307571661100 is an apocalyptic number.

5307571661100 is a gapful number since it is divisible by the number (50) 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 5307571661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083785104640).

5307571661100 is an abundant number, since it is smaller than the sum of its proper divisors (10859998548180).

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

5307571661100 is a wasteful number, since it uses less digits than its factorization.

5307571661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158760 (or 158753 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 5307571661100 in words is "five trillion, three hundred seven billion, five hundred seventy-one million, six hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 6101 12202 18303 24404 30505 36606 61010 73212 91515 115919 122020 152525 152623 183030 231838 305050 305246 347757 366060 457575 457869 463676 579595 610100 610492 695514 763115 915150 915738 1159190 1391028 1526230 1738785 1830300 1831476 2289345 2318380 2897975 2899837 3052460 3477570 3815575 4578690 5795950 5799674 6955140 7631150 8693925 8699511 9157380 11446725 11591900 11599348 14499185 15262300 17387850 17399022 22893450 28998370 34775700 34798044 43497555 45786900 57996740 72495925 86995110 144991850 173990220 217487775 289983700 434975550 869951100 931152923 1862305846 2793458769 3724611692 4655764615 5586917538 9311529230 11173835076 13967293845 17691905537 18623058460 23278823075 27934587690 35383811074 46557646150 53075716611 55869175380 69836469225 70767622148 88459527685 93115292300 106151433222 139672938450 176919055370 212302866444 265378583055 279345876900 353838110740 442297638425 530757166110 884595276850 1061514332220 1326892915275 1769190553700 2653785830550 5307571661100