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2047999104 = 27328321419
BaseRepresentation
bin111101000010001…
…1111110010000000
312021201200010121200
41322010133302000
513143241432404
6535115421200
7101515463604
oct17204376200
95251603550
102047999104
11961051048
12491a54800
132683b1ab8
14155dd1504
15bebe4839
hex7a11fc80

2047999104 has 96 divisors (see below), whose sum is σ = 5964613200. Its totient is φ = 674409984.

The previous prime is 2047999087. The next prime is 2047999157. The reversal of 2047999104 is 4019997402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2047999104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84907 + ... + 106325.

Almost surely, 22047999104 is an apocalyptic number.

2047999104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982306600).

2047999104 is an abundant number, since it is smaller than the sum of its proper divisors (3916614096).

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

2047999104 is a wasteful number, since it uses less digits than its factorization.

2047999104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21522 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2047999104 is about 45254.8240964430. The cubic root of 2047999104 is about 1269.9206563777.

The spelling of 2047999104 in words is "two billion, forty-seven million, nine hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2988 3984 5312 5976 7968 10624 11952 15936 21419 23904 31872 42838 47808 64257 85676 95616 128514 171352 192771 257028 342704 385542 514056 685408 771084 1028112 1370816 1542168 1777777 2056224 2741632 3084336 3555554 4112448 5333331 6168672 7111108 8224896 10666662 12337344 14222216 15999993 21333324 24674688 28444432 31999986 42666648 56888864 63999972 85333296 113777728 127999944 170666592 227555456 255999888 341333184 511999776 682666368 1023999552 2047999104