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2047094016 = 283111671451
BaseRepresentation
bin111101000000100…
…0010110100000000
312021122222011001220
41322001002310000
513143024002031
6535044155040
7101505004062
oct17201026400
95248864056
102047094016
11960593040
12491698a80
13268155b46
14155c37732
15beab6596
hex7a042d00

2047094016 has 144 divisors (see below), whose sum is σ = 5983262208. Its totient is φ = 616192000.

The previous prime is 2047094009. The next prime is 2047094039. The reversal of 2047094016 is 6104907402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410091 + ... + 1411541.

It is an arithmetic number, because the mean of its divisors is an integer number (41550432).

Almost surely, 22047094016 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 2047094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991631104).

2047094016 is an abundant number, since it is smaller than the sum of its proper divisors (3936168192).

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

2047094016 is a wasteful number, since it uses less digits than its factorization.

2047094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2047094016 is about 45244.8230850779. The cubic root of 2047094016 is about 1269.7335535439.

The spelling of 2047094016 in words is "two billion, forty-seven million, ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 167 176 192 256 264 334 352 384 501 528 668 704 768 1002 1056 1336 1408 1451 1837 2004 2112 2672 2816 2902 3674 4008 4224 4353 5344 5511 5804 7348 8016 8448 8706 10688 11022 11608 14696 15961 16032 17412 21376 22044 23216 29392 31922 32064 34824 42752 44088 46432 47883 58784 63844 64128 69648 88176 92864 95766 117568 127688 128256 139296 176352 185728 191532 235136 242317 255376 278592 352704 371456 383064 470272 484634 510752 557184 705408 726951 766128 969268 1021504 1114368 1410816 1453902 1532256 1938536 2043008 2665487 2907804 3064512 3877072 4086016 5330974 5815608 6129024 7754144 7996461 10661948 11631216 12258048 15508288 15992922 21323896 23262432 31016576 31985844 42647792 46524864 62033152 63971688 85295584 93049728 127943376 170591168 186099456 255886752 341182336 511773504 682364672 1023547008 2047094016