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2137903872 = 28313214133
BaseRepresentation
bin111111101101101…
…1101001100000000
312111222211202202220
41333123131030000
513334300410442
6552050411040
7103656611616
oct17733351400
95458752686
102137903872
119a7877905
124b7b90a80
13280bcc5a0
14163d156b6
15c7a52eec
hex7f6dd300

2137903872 has 72 divisors (see below), whose sum is σ = 6127658544. Its totient is φ = 657813504.

The previous prime is 2137903861. The next prime is 2137903891. The reversal of 2137903872 is 2783097312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97083 + ... + 117050.

Almost surely, 22137903872 is an apocalyptic number.

It is an amenable number.

2137903872 is an abundant number, since it is smaller than the sum of its proper divisors (3989754672).

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

2137903872 is a wasteful number, since it uses less digits than its factorization.

2137903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214165 (or 214151 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 2137903872 is about 46237.4725952879. The cubic root of 2137903872 is about 1288.2378584156.

The spelling of 2137903872 in words is "two billion, one hundred thirty-seven million, nine hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 214133 428266 642399 856532 1284798 1713064 2569596 2783729 3426128 5139192 5567458 6852256 8351187 10278384 11134916 13704512 16702374 20556768 22269832 27409024 33404748 41113536 44539664 54818048 66809496 82227072 89079328 133618992 164454144 178158656 267237984 356317312 534475968 712634624 1068951936 2137903872