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2139009312 = 253112025577
BaseRepresentation
bin111111101111110…
…1011000100100000
312112001220221011010
41333133223010200
513340041244222
6552130220520
7104002164516
oct17737530440
95461827133
102139009312
119a84623a0
124b8424740
132811c87ab
141641224b6
15c7bc080c
hex7f7eb120

2139009312 has 48 divisors (see below), whose sum is σ = 6125347872. Its totient is φ = 648184320.

The previous prime is 2139009259. The next prime is 2139009317.

It is a happy number.

2139009312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2139009312.

It is not an unprimeable number, because it can be changed into a prime (2139009317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011733 + ... + 1013844.

It is an arithmetic number, because the mean of its divisors is an integer number (127611414).

Almost surely, 22139009312 is an apocalyptic number.

2139009312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2139009312 is an abundant number, since it is smaller than the sum of its proper divisors (3986338560).

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

2139009312 is a wasteful number, since it uses less digits than its factorization.

2139009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025601 (or 2025593 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2139009312 is about 46249.4249910202. The cubic root of 2139009312 is about 1288.4598553446.

The spelling of 2139009312 in words is "two billion, one hundred thirty-nine million, nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2025577 4051154 6076731 8102308 12153462 16204616 22281347 24306924 32409232 44562694 48613848 64818464 66844041 89125388 97227696 133688082 178250776 194455392 267376164 356501552 534752328 713003104 1069504656 2139009312