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2472486912 = 21132719163
BaseRepresentation
bin1001001101011111…
…0010100000000000
320101022102100102100
42103113302200000
520030424040122
61045201550400
7115161535440
oct22327624000
96338370370
102472486912
111059722015
12590045400
1330531840c
1419652c120
15e70e3aac
hex935f2800

2472486912 has 144 divisors (see below), whose sum is σ = 8161564320. Its totient is φ = 706387968.

The previous prime is 2472486911. The next prime is 2472486977. The reversal of 2472486912 is 2196842742.

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

It is a super-2 number, since 2×24724869122 = 12226383060022591488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2472486911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119443 + ... + 138605.

It is an arithmetic number, because the mean of its divisors is an integer number (56677530).

Almost surely, 22472486912 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 2472486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080782160).

2472486912 is an abundant number, since it is smaller than the sum of its proper divisors (5689077408).

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

2472486912 is a wasteful number, since it uses less digits than its factorization.

2472486912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19198 (or 19175 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2472486912 is about 49724.1079557995. The cubic root of 2472486912 is about 1352.2116307954.

Adding to 2472486912 its product of digits (387072), we get a square (2472873984 = 497282).

The spelling of 2472486912 in words is "two billion, four hundred seventy-two million, four hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 19163 21504 32256 38326 43008 57489 64512 76652 114978 129024 134141 153304 172467 229956 268282 306608 344934 402423 459912 536564 613216 689868 804846 919824 1073128 1207269 1226432 1379736 1609692 1839648 2146256 2414538 2452864 2759472 3219384 3679296 4292512 4829076 4905728 5518944 6438768 7358592 8585024 9658152 9811456 11037888 12877536 14717184 17170048 19316304 19622912 22075776 25755072 29434368 34340096 38632608 39245824 44151552 51510144 58868736 68680192 77265216 88303104 103020288 117737472 137360384 154530432 176606208 206040576 274720768 309060864 353212416 412081152 618121728 824162304 1236243456 2472486912