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2047851072 = 26343112743
BaseRepresentation
bin111101000001111…
…1011101001000000
312021201101121120000
41322003323221000
513143222213242
6535112320000
7101514306201
oct17203735100
95251347500
102047851072
11960a5a903
124919a3000
1326835c5c7
14155d935a8
15bebb5a4c
hex7a0fba40

2047851072 has 140 divisors (see below), whose sum is σ = 6266785536. Its totient is φ = 660545280.

The previous prime is 2047851061. The next prime is 2047851097. The reversal of 2047851072 is 2701587402.

2047851072 is a `hidden beast` number, since 2 + 0 + 4 + 78 + 510 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154333 + ... + 167075.

Almost surely, 22047851072 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 2047851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133392768).

2047851072 is an abundant number, since it is smaller than the sum of its proper divisors (4218934464).

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

2047851072 is a wasteful number, since it uses less digits than its factorization.

2047851072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12798 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2047851072 is about 45253.1885285446. The cubic root of 2047851072 is about 1269.8900584763.

The spelling of 2047851072 in words is "two billion, forty-seven million, eight hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 12743 13392 17856 20088 25486 26784 38229 40176 50972 53568 76458 80352 101944 114687 152916 160704 203888 229374 305832 344061 395033 407776 458748 611664 688122 790066 815552 917496 1032183 1185099 1223328 1376244 1580132 1834992 2064366 2370198 2446656 2752488 3160264 3555297 3669984 4128732 4740396 5504976 6320528 7110594 7339968 8257464 9480792 10665891 11009952 12641056 14221188 16514928 18961584 21331782 22019904 25282112 28442376 31997673 33029856 37923168 42663564 56884752 63995346 66059712 75846336 85327128 113769504 127990692 170654256 227539008 255981384 341308512 511962768 682617024 1023925536 2047851072