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3199248880 = 245194674507
BaseRepresentation
bin1011111010110000…
…1010100111110000
322020221221200102021
42332230022213300
523023001431010
61245243001224
7142165111132
oct27654124760
98227850367
103199248880
1113a1990043
12753509214
133bca67999
14224c71052
1513ad008da
hexbeb0a9f0

3199248880 has 80 divisors (see below), whose sum is σ = 7848247680. Its totient is φ = 1209482496.

The previous prime is 3199248847. The next prime is 3199248931. The reversal of 3199248880 is 888429913.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 707587 + ... + 712093.

It is an arithmetic number, because the mean of its divisors is an integer number (98103096).

Almost surely, 23199248880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3199248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924123840).

3199248880 is an abundant number, since it is smaller than the sum of its proper divisors (4648998800).

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

3199248880 is a wasteful number, since it uses less digits than its factorization.

3199248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 3199248880 is about 56561.9030797232. The cubic root of 3199248880 is about 1473.4972925281.

The spelling of 3199248880 in words is "three billion, one hundred ninety-nine million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 467 760 934 1520 1868 2335 3736 4507 4670 7472 8873 9014 9340 17746 18028 18680 22535 35492 36056 37360 44365 45070 70984 72112 85633 88730 90140 141968 171266 177460 180280 342532 354920 360560 428165 685064 709840 856330 1370128 1712660 2104769 3425320 4209538 6850640 8419076 10523845 16838152 21047690 33676304 39990611 42095380 79981222 84190760 159962444 168381520 199953055 319924888 399906110 639849776 799812220 1599624440 3199248880