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106645279463400 = 23352201188384949
BaseRepresentation
bin11000001111111001001001…
…111111111101011111101000
3111222121012002220000012110010
4120033321021333331133220
5102434234013020312100
61014452055352051520
731314603304454016
oct3017711177753750
9458535086005403
10106645279463400
1130a87011025157
12bb646a0393ba0
1347677b6c01722
141c4993269d8b6
15c4e14d817750
hex60fe49ffd7e8

106645279463400 has 96 divisors (see below), whose sum is σ = 330764766084000. Its totient is φ = 28424599276800.

The previous prime is 106645279463377. The next prime is 106645279463407. The reversal of 106645279463400 is 4364972546601.

It is a super-2 number, since 2×1066452794634002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106645279463407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42985875 + ... + 45399074.

It is an arithmetic number, because the mean of its divisors is an integer number (3445466313375).

Almost surely, 2106645279463400 is an apocalyptic number.

106645279463400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106645279463400 is an abundant number, since it is smaller than the sum of its proper divisors (224119486620600).

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

106645279463400 is a wasteful number, since it uses less digits than its factorization.

106645279463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88386979 (or 88386970 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 106645279463400 in words is "one hundred six trillion, six hundred forty-five billion, two hundred seventy-nine million, four hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2011 4022 6033 8044 10055 12066 16088 20110 24132 30165 40220 48264 50275 60330 80440 100550 120660 150825 201100 241320 301650 402200 603300 1206600 88384949 176769898 265154847 353539796 441924745 530309694 707079592 883849490 1060619388 1325774235 1767698980 2121238776 2209623725 2651548470 3535397960 4419247450 5303096940 6628871175 8838494900 10606193880 13257742350 17676989800 26515484700 53030969400 177742132439 355484264878 533226397317 710968529756 888710662195 1066452794634 1421937059512 1777421324390 2132905589268 2666131986585 3554842648780 4265811178536 4443553310975 5332263973170 7109685297560 8887106621950 10664527946340 13330659932925 17774213243900 21329055892680 26661319865850 35548426487800 53322639731700 106645279463400