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2664037434552 = 2331321157497039
BaseRepresentation
bin100110110001000101000…
…000010100010010111000
3100102200100100102122012120
4212301011000110102320
5322121422040401202
65355501503441240
7363320221366014
oct46610500242270
910380310378176
102664037434552
119378a275380a
123703848b6220
131642aa249390
1492d238c3544
154946ec6a0bc
hex26c450144b8

2664037434552 has 128 divisors (see below), whose sum is σ = 7208678400000. Its totient is φ = 815561187840.

The previous prime is 2664037434529. The next prime is 2664037434589. The reversal of 2664037434552 is 2554347304662.

It is a junction number, because it is equal to n+sod(n) for n = 2664037434495 and 2664037434504.

It is a congruent number.

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, 378464649 + ... + 378471687.

It is an arithmetic number, because the mean of its divisors is an integer number (56317800000).

Almost surely, 22664037434552 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 2664037434552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604339200000).

2664037434552 is an abundant number, since it is smaller than the sum of its proper divisors (4544640965448).

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

2664037434552 is a wasteful number, since it uses less digits than its factorization.

2664037434552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13021 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 51.

The spelling of 2664037434552 in words is "two trillion, six hundred sixty-four billion, thirty-seven million, four hundred thirty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 211 312 422 633 844 1266 1688 2532 2743 5064 5486 5749 7039 8229 10972 11498 14078 16458 17247 21117 21944 22996 28156 32916 34494 42234 45992 56312 65832 68988 74737 84468 91507 137976 149474 168936 183014 224211 274521 298948 366028 448422 549042 597896 732056 896844 1098084 1213039 1485229 1793688 2196168 2426078 2970458 3639117 4455687 4852156 5940916 7278234 8911374 9704312 11881832 14556468 15769507 17822748 19307977 29112936 31539014 35645496 38615954 40467211 47308521 57923931 63078028 77231908 80934422 94617042 115847862 121401633 126156056 154463816 161868844 189234084 231695724 242803266 323737688 378468168 463391448 485606532 526073743 971213064 1052147486 1578221229 2104294972 3156442458 4208589944 6312884916 8538581521 12625769832 17077163042 25615744563 34154326084 51231489126 68308652168 102462978252 111001559773 204925956504 222003119546 333004679319 444006239092 666009358638 888012478184 1332018717276 2664037434552