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2148878976 = 27313740847
BaseRepresentation
bin1000000000010101…
…0100101010000000
312112202111100210020
42000011110222000
513400103111401
6553121533440
7104152112166
oct20005245200
95482440706
102148878976
11a02a93642
124bb7a4280
13283272c2a
14165571236
15c89bed36
hex80154a80

2148878976 has 64 divisors (see below), whose sum is σ = 5749764480. Its totient is φ = 711047168.

The previous prime is 2148878957. The next prime is 2148879001. The reversal of 2148878976 is 6798788412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32185 + ... + 73031.

It is an arithmetic number, because the mean of its divisors is an integer number (89840070).

Almost surely, 22148878976 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 2148878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874882240).

2148878976 is an abundant number, since it is smaller than the sum of its proper divisors (3600885504).

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

2148878976 is a wasteful number, since it uses less digits than its factorization.

2148878976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41001 (or 40989 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The square root of 2148878976 is about 46356.0025886616. The cubic root of 2148878976 is about 1290.4385216653.

The spelling of 2148878976 in words is "two billion, one hundred forty-eight million, eight hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 17536 26304 40847 52608 81694 122541 163388 245082 326776 490164 653552 980328 1307104 1960656 2614208 3921312 5228416 5596039 7842624 11192078 15685248 16788117 22384156 33576234 44768312 67152468 89536624 134304936 179073248 268609872 358146496 537219744 716292992 1074439488 2148878976