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2004436656132 = 2231731619512047
BaseRepresentation
bin11101001010110001101…
…111000010000000000100
321002121210122012100000120
4131022301233002000010
5230320041240444012
64132454145541540
7264546544313421
oct35126157020004
97077718170016
102004436656132
11703093267249
122845819448b0
1311702c78cba1
146d02dbcad48
153721775758c
hex1d2b1bc2004

2004436656132 has 96 divisors (see below), whose sum is σ = 5120152289280. Its totient is φ = 607573301760.

The previous prime is 2004436656119. The next prime is 2004436656193. The reversal of 2004436656132 is 2316566344002.

It is a happy number.

It is a super-2 number, since 2×20044366561322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3658533 + ... + 4170579.

It is an arithmetic number, because the mean of its divisors is an integer number (53334919680).

Almost surely, 22004436656132 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 2004436656132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560076144640).

2004436656132 is an abundant number, since it is smaller than the sum of its proper divisors (3115715633148).

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

2004436656132 is a wasteful number, since it uses less digits than its factorization.

2004436656132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512721 (or 512719 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2004436656132 in words is "two trillion, four billion, four hundred thirty-six million, six hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 619 1054 1238 1581 1857 2108 2476 3162 3714 6324 7428 10523 19189 21046 31569 38378 42092 57567 63138 76756 115134 126276 230268 326213 512047 652426 978639 1024094 1304852 1536141 1957278 2048188 3072282 3914556 6144564 8704799 15873457 17409598 26114397 31746914 34819196 47620371 52228794 63493828 95240742 104457588 190481484 269848769 316957093 539697538 633914186 809546307 950871279 1079395076 1267828372 1619092614 1901742558 3238185228 3803485116 5388270581 9825669883 10776541162 16164811743 19651339766 21553082324 29477009649 32329623486 39302679532 58954019298 64659246972 117908038596 167036388011 334072776022 501109164033 668145552044 1002218328066 2004436656132