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4249792979424 = 2532116819126317
BaseRepresentation
bin111101110101111011011…
…001101010000111100000
3120001021110101020211012200
4331311323121222013200
51024112034000320144
613012154500253200
7616015555205256
oct75657331520740
916037411224180
104249792979424
111399366388233
1258777b0a1200
1324a9a5012935
141099964625d6
1575830a2ec69
hex3dd7b66a1e0

4249792979424 has 72 divisors (see below), whose sum is σ = 12085547914440. Its totient is φ = 1416574318848.

The previous prime is 4249792979371. The next prime is 4249792979449.

4249792979424 is a `hidden beast` number, since 4 + 2 + 49 + 7 + 92 + 9 + 79 + 424 = 666.

4249792979424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 33580714 + ... + 33707030.

It is an arithmetic number, because the mean of its divisors is an integer number (167854832145).

Almost surely, 24249792979424 is an apocalyptic number.

It is an amenable number.

4249792979424 is an abundant number, since it is smaller than the sum of its proper divisors (7835754935016).

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

4249792979424 is a wasteful number, since it uses less digits than its factorization.

4249792979424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243152 (or 243141 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 4249792979424 in words is "four trillion, two hundred forty-nine billion, seven hundred ninety-two million, nine hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 116819 126317 233638 252634 350457 378951 467276 505268 700914 757902 934552 1010536 1051371 1136853 1401828 1515804 1869104 2021072 2102742 2273706 2803656 3031608 3738208 4042144 4205484 4547412 5607312 6063216 8410968 9094824 11214624 12126432 16821936 18189648 33643872 36379296 14756225623 29512451246 44268676869 59024902492 88537353738 118049804984 132806030607 177074707476 236099609968 265612061214 354149414952 472199219936 531224122428 708298829904 1062448244856 1416597659808 2124896489712 4249792979424