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4011136021504 = 210123713812293
BaseRepresentation
bin111010010111101010010…
…101100111010000000000
3112012110102222002012121001
4322113222111213100000
51011204301310142004
612310405045341344
7562536455426113
oct72275225472000
915173388065531
104011136021504
111307127794427
12549475407854
1323132cc69581
14dc1d62da57a
156e5139671a4
hex3a5ea567400

4011136021504 has 88 divisors (see below), whose sum is σ = 8034150149288. Its totient is φ = 2001622302720.

The previous prime is 4011136021379. The next prime is 4011136021507. The reversal of 4011136021504 is 4051206311104.

It can be written as a sum of positive squares in 4 ways, for example, as 595440635904 + 3415695385600 = 771648^2 + 1848160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011136021507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1749294982 + ... + 1749297274.

Almost surely, 24011136021504 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 4011136021504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017075074644).

4011136021504 is an abundant number, since it is smaller than the sum of its proper divisors (4023014127784).

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

4011136021504 is a wasteful number, since it uses less digits than its factorization.

4011136021504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 4011136021504 in words is "four trillion, eleven billion, one hundred thirty-six million, twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1237 1381 2293 2474 2762 4586 4948 5524 9172 9896 11048 18344 19792 22096 36688 39584 44192 73376 79168 88384 146752 158336 176768 293504 316672 353536 587008 633344 707072 1174016 1266688 1414144 1708297 2348032 2836441 3166633 3416594 5672882 6333266 6833188 11345764 12666532 13666376 22691528 25333064 27332752 45383056 50666128 54665504 90766112 101332256 109331008 181532224 202664512 218662016 363064448 405329024 437324032 726128896 810658048 874648064 1452257792 1621316096 1749296128 2904515584 3242632192 3917125021 7834250042 15668500084 31337000168 62674000336 125348000672 250696001344 501392002688 1002784005376 2005568010752 4011136021504