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4122126880 = 25541628373
BaseRepresentation
bin1111010110110010…
…1010101000100000
3101122021111202000221
43311230222220200
531420231030010
61521011252424
7204102333424
oct36554525040
911567452027
104122126880
111825918a33
129705aa114
13509011741
142b1664b84
15191d4adda
hexf5b2aa20

4122126880 has 48 divisors (see below), whose sum is σ = 9976065624. Its totient is φ = 1608632320.

The previous prime is 4122126809. The next prime is 4122126913. The reversal of 4122126880 is 886212214.

It can be written as a sum of positive squares in 4 ways, for example, as 1321177104 + 2800949776 = 36348^2 + 52924^2 .

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, 307627 + ... + 320746.

Almost surely, 24122126880 is an apocalyptic number.

4122126880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122126880 is an abundant number, since it is smaller than the sum of its proper divisors (5853938744).

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

4122126880 is a wasteful number, since it uses less digits than its factorization.

4122126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628429 (or 628421 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 4122126880 is about 64203.7917883360. The cubic root of 4122126880 is about 1603.3947297871.

The spelling of 4122126880 in words is "four billion, one hundred twenty-two million, one hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 628373 1256746 2513492 3141865 5026984 6283730 10053968 12567460 20107936 25134920 25763293 50269840 51526586 100539680 103053172 128816465 206106344 257632930 412212688 515265860 824425376 1030531720 2061063440 4122126880