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8129212480 = 26525403789
BaseRepresentation
bin1111001001000100…
…11111000001000000
3202222112112210002201
413210202133001000
5113122034244410
63422353122544
7405310110634
oct74442370100
922875483081
108129212480
1134a1801724
1216aa559454
139c72442cc
14571900dc4
15328a2083a
hex1e489f040

8129212480 has 28 divisors (see below), whose sum is σ = 19357687980. Its totient is φ = 3251684864.

The previous prime is 8129212471. The next prime is 8129212499. The reversal of 8129212480 is 842129218.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4541681664 + 3587530816 = 67392^2 + 59896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12701575 + ... + 12702214.

Almost surely, 28129212480 is an apocalyptic number.

8129212480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8129212480 is an abundant number, since it is smaller than the sum of its proper divisors (11228475500).

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

8129212480 is a wasteful number, since it uses less digits than its factorization.

8129212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25403806 (or 25403796 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 8129212480 is about 90162.1454935496. The cubic root of 8129212480 is about 2010.7102495632.

The spelling of 8129212480 in words is "eight billion, one hundred twenty-nine million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 25403789 50807578 101615156 127018945 203230312 254037890 406460624 508075780 812921248 1016151560 1625842496 2032303120 4064606240 8129212480