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2059241472 = 21132111721
BaseRepresentation
bin111101010111101…
…1000100000000000
312022111211022020200
41322233120200000
513204131211342
6540200405200
7102013156311
oct17257304000
95274738220
102059241472
1196742a662
12495776800
1326a819ca2
141576ba608
15c0bb594c
hex7abd8800

2059241472 has 72 divisors (see below), whose sum is σ = 5947520670. Its totient is φ = 686407680.

The previous prime is 2059241461. The next prime is 2059241519. The reversal of 2059241472 is 2741429502.

2059241472 is a `hidden beast` number, since 20 + 592 + 4 + 1 + 47 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2027160576 + 32080896 = 45024^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37429 + ... + 74292.

Almost surely, 22059241472 is an apocalyptic number.

It is an amenable number.

2059241472 is an abundant number, since it is smaller than the sum of its proper divisors (3888279198).

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

2059241472 is a wasteful number, since it uses less digits than its factorization.

2059241472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111749 (or 111726 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2059241472 is about 45378.8659179579. The cubic root of 2059241472 is about 1272.2401350358.

The spelling of 2059241472 in words is "two billion, fifty-nine million, two hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 111721 223442 335163 446884 670326 893768 1005489 1340652 1787536 2010978 2681304 3575072 4021956 5362608 7150144 8043912 10725216 14300288 16087824 21450432 28600576 32175648 42900864 57201152 64351296 85801728 114402304 128702592 171603456 228804608 257405184 343206912 514810368 686413824 1029620736 2059241472