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11742766098432 = 21133689951797
BaseRepresentation
bin1010101011100001001101…
…1001101110100000000000
31112120121010120002222020220
42222320103121232200000
53014343141110122212
640550315142503040
72321246455640505
oct252702331564000
945517116088226
1011742766098432
113818096369306
1213979b0734a80
13672451a30985
142c84d25654ac
151556c9ed838c
hexaae1366e800

11742766098432 has 96 divisors (see below), whose sum is σ = 31307850756000. Its totient is φ = 3914073718784.

The previous prime is 11742766098383. The next prime is 11742766098467. The reversal of 11742766098432 is 23489066724711.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226681558 + ... + 226733354.

It is an arithmetic number, because the mean of its divisors is an integer number (326123445375).

Almost surely, 211742766098432 is an apocalyptic number.

11742766098432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11742766098432 is an abundant number, since it is smaller than the sum of its proper divisors (19565084657568).

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

11742766098432 is an equidigital number, since it uses as much as digits as its factorization.

11742766098432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88721 (or 88701 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 11742766098432 in words is "eleven trillion, seven hundred forty-two billion, seven hundred sixty-six million, ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 36899 51797 73798 103594 110697 147596 155391 207188 221394 295192 310782 414376 442788 590384 621564 828752 885576 1180768 1243128 1657504 1771152 2361536 2486256 3315008 3542304 4723072 4972512 6630016 7084608 9446144 9945024 13260032 14169216 18892288 19890048 26520064 28338432 37784576 39780096 53040128 56676864 75569152 79560192 106080256 113353728 159120384 226707456 318240768 1911257503 3822515006 5733772509 7645030012 11467545018 15290060024 22935090036 30580120048 45870180072 61160240096 91740360144 122320480192 183480720288 244640960384 366961440576 489281920768 733922881152 978563841536 1467845762304 1957127683072 2935691524608 3914255366144 5871383049216 11742766098432