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2181076992 = 21132241491
BaseRepresentation
bin1000001000000000…
…1001100000000000
312122000002012011100
42002000021200000
513431323430432
61000232014400
7105022564023
oct20200114000
95560065140
102181076992
11a1a185476
1250a531400
13289b37503
141699531ba
15cb73007c
hex82009800

2181076992 has 144 divisors (see below), whose sum is σ = 6338372040. Its totient is φ = 722534400.

The previous prime is 2181076949. The next prime is 2181077009. The reversal of 2181076992 is 2996701812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4441867 + ... + 4442357.

Almost surely, 22181076992 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 2181076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169186020).

2181076992 is an abundant number, since it is smaller than the sum of its proper divisors (4157295048).

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

2181076992 is a wasteful number, since it uses less digits than its factorization.

2181076992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2181076992 is about 46702.0020127617. The cubic root of 2181076992 is about 1296.8517491952.

The spelling of 2181076992 in words is "two billion, one hundred eighty-one million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 256 288 384 482 491 512 576 723 768 964 982 1024 1152 1446 1473 1536 1928 1964 2048 2169 2304 2892 2946 3072 3856 3928 4338 4419 4608 5784 5892 6144 7712 7856 8676 8838 9216 11568 11784 15424 15712 17352 17676 18432 23136 23568 30848 31424 34704 35352 46272 47136 61696 62848 69408 70704 92544 94272 118331 123392 125696 138816 141408 185088 188544 236662 246784 251392 277632 282816 354993 370176 377088 473324 493568 502784 555264 565632 709986 740352 754176 946648 1005568 1064979 1110528 1131264 1419972 1480704 1508352 1893296 2129958 2221056 2262528 2839944 3016704 3786592 4259916 4442112 4525056 5679888 7573184 8519832 9050112 11359776 15146368 17039664 22719552 30292736 34079328 45439104 60585472 68158656 90878208 121170944 136317312 181756416 242341888 272634624 363512832 545269248 727025664 1090538496 2181076992