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2139971808 = 253137124151
BaseRepresentation
bin111111110001101…
…0110000011100000
312112010201211110010
41333203112003200
513340313044213
6552203004520
7104013313602
oct17743260340
95463654403
102139971808
119a8a5a547
124b8809740
13281474910
141642d3172
15c7d10ac3
hex7f8d60e0

2139971808 has 96 divisors (see below), whose sum is σ = 6134994432. Its totient is φ = 649152000.

The previous prime is 2139971807. The next prime is 2139971833. The reversal of 2139971808 is 8081799312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139971807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76533 + ... + 100683.

It is an arithmetic number, because the mean of its divisors is an integer number (63906192).

Almost surely, 22139971808 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 2139971808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067497216).

2139971808 is an abundant number, since it is smaller than the sum of its proper divisors (3995022624).

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

2139971808 is a wasteful number, since it uses less digits than its factorization.

2139971808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24248 (or 24240 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 2139971808 is about 46259.8293122662. The cubic root of 2139971808 is about 1288.6530836594.

The spelling of 2139971808 in words is "two billion, one hundred thirty-nine million, nine hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1704 1846 2272 2769 3408 3692 5538 6816 7384 11076 14768 22152 24151 29536 44304 48302 72453 88608 96604 144906 193208 289812 313963 386416 579624 627926 772832 941889 1159248 1255852 1714721 1883778 2318496 2511704 3429442 3767556 5023408 5144163 6858884 7535112 10046816 10288326 13717768 15070224 20576652 22291373 27435536 30140448 41153304 44582746 54871072 66874119 82306608 89165492 133748238 164613216 178330984 267496476 356661968 534992952 713323936 1069985904 2139971808