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1427520372100 = 2252677136115493
BaseRepresentation
bin10100110001011110110…
…110000011110110000100
312001110200100102112211121
4110301132312003312010
5141342030203401400
63011443243443324
7205064166646024
oct24613666036604
95043610375747
101427520372100
11500454042169
121b07b5826544
13a47cb353414
144d1415c7a84
15271ee23421a
hex14c5ed83d84

1427520372100 has 72 divisors (see below), whose sum is σ = 3104774672328. Its totient is φ = 569709004800.

The previous prime is 1427520372077. The next prime is 1427520372119. The reversal of 1427520372100 is 12730257241.

It can be written as a sum of positive squares in 12 ways, for example, as 516179023936 + 911341348164 = 718456^2 + 954642^2 .

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, 92131954 + ... + 92147446.

It is an arithmetic number, because the mean of its divisors is an integer number (43121870449).

Almost surely, 21427520372100 is an apocalyptic number.

1427520372100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427520372100 is an abundant number, since it is smaller than the sum of its proper divisors (1677254300228).

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

1427520372100 is a wasteful number, since it uses less digits than its factorization.

1427520372100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17545 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 1427520372100 in words is "one trillion, four hundred twenty-seven billion, five hundred twenty million, three hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 677 1354 1361 2708 2722 3385 5444 6770 6805 13540 13610 15493 16925 27220 30986 33850 34025 61972 67700 68050 77465 136100 154930 309860 387325 774650 921397 1549300 1842794 3685588 4606985 9213970 10488761 18427940 20977522 21085973 23034925 41955044 42171946 46069850 52443805 84343892 92139700 104887610 105429865 209775220 210859730 262219025 421719460 524438050 527149325 1048876100 1054298650 2108597300 14275203721 28550407442 57100814884 71376018605 142752037210 285504074420 356880093025 713760186050 1427520372100