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126081806336 = 212197322193
BaseRepresentation
bin111010101101100001…
…1111011000000000000
3110001102212011101100222
41311123003323000000
54031203420300321
6133530550402212
712052265446133
oct1653303730000
9401385141328
10126081806336
114951a990252
1220528660368
13bb741c6745
146160d6c21a
15342dd9c3ab
hex1d5b0fb000

126081806336 has 104 divisors (see below), whose sum is σ = 269050759920. Its totient is φ = 58902183936.

The previous prime is 126081806329. The next prime is 126081806353. The reversal of 126081806336 is 633608180621.

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, 5670056 + ... + 5692248.

Almost surely, 2126081806336 is an apocalyptic number.

126081806336 is a gapful number since it is divisible by the number (16) 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 126081806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134525379960).

126081806336 is an abundant number, since it is smaller than the sum of its proper divisors (142968953584).

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

126081806336 is an equidigital number, since it uses as much as digits as its factorization.

126081806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22309 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

Adding to 126081806336 its reverse (633608180621), we get a palindrome (759689986957).

The spelling of 126081806336 in words is "one hundred twenty-six billion, eighty-one million, eight hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 128 146 152 256 292 304 512 584 608 1024 1168 1216 1387 2048 2336 2432 2774 4096 4672 4864 5548 9344 9728 11096 18688 19456 22192 22193 37376 38912 44384 44386 74752 77824 88768 88772 149504 177536 177544 299008 355072 355088 421667 710144 710176 843334 1420288 1420352 1620089 1686668 2840576 2840704 3240178 3373336 5681152 5681408 6480356 6746672 11362816 12960712 13493344 22725632 25921424 26986688 30781691 45451264 51842848 53973376 61563382 90902528 103685696 107946752 123126764 207371392 215893504 246253528 414742784 431787008 492507056 829485568 863574016 985014112 1658971136 1727148032 1970028224 3317942272 3940056448 6635884544 7880112896 15760225792 31520451584 63040903168 126081806336