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2105010048 = 27323238339
BaseRepresentation
bin111110101110111…
…1110011110000000
312102200221120221010
41331131332132000
513302340310143
6544513400520
7103110201351
oct17535763600
95380846833
102105010048
11990250229
124a8b69140
1327715339b
1415d7d1d28
15c4c06a33
hex7d77e780

2105010048 has 64 divisors (see below), whose sum is σ = 5834563200. Its totient is φ = 671159808.

The previous prime is 2105010029. The next prime is 2105010067. The reversal of 2105010048 is 8400105012.

It is an interprime number because it is at equal distance from previous prime (2105010029) and next prime (2105010067).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110338 + ... + 128001.

It is an arithmetic number, because the mean of its divisors is an integer number (91165050).

Almost surely, 22105010048 is an apocalyptic number.

It is an amenable number.

2105010048 is an abundant number, since it is smaller than the sum of its proper divisors (3729553152).

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

2105010048 is a wasteful number, since it uses less digits than its factorization.

2105010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238379 (or 238367 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2105010048 is about 45880.3884900727. The cubic root of 2105010048 is about 1281.5967312935.

The spelling of 2105010048 in words is "two billion, one hundred five million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 238339 476678 715017 953356 1430034 1906712 2860068 3813424 5481797 5720136 7626848 10963594 11440272 15253696 16445391 21927188 22880544 30507392 32890782 43854376 45761088 65781564 87708752 91522176 131563128 175417504 263126256 350835008 526252512 701670016 1052505024 2105010048