Search a number
-
+
4804923752448 = 217368317891
BaseRepresentation
bin100010111101011101111…
…0001100000000000000000
3122000100100101201222111120
41011322323301200000000
51112210440440034243
614115203531312240
71004100330005421
oct105727361400000
918010311658446
104804923752448
111592836215466
126572872ab680
1328b143b885a1
141287b9599648
1584ec1691c83
hex45ebbc60000

4804923752448 has 144 divisors (see below), whose sum is σ = 12832558353216. Its totient is φ = 1599206850560.

The previous prime is 4804923752417. The next prime is 4804923752467. The reversal of 4804923752448 is 8442573294084.

It is a junction number, because it is equal to n+sod(n) for n = 4804923752391 and 4804923752400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268557583 + ... + 268575473.

It is an arithmetic number, because the mean of its divisors is an integer number (89114988564).

Almost surely, 24804923752448 is an apocalyptic number.

4804923752448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4804923752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416279176608).

4804923752448 is an abundant number, since it is smaller than the sum of its proper divisors (8027634600768).

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

4804923752448 is an frugal number, since it uses more digits than its factorization.

4804923752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18611 (or 18579 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 4804923752448 in words is "four trillion, eight hundred four billion, nine hundred twenty-three million, seven hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 683 768 1024 1366 1536 2048 2049 2732 3072 4096 4098 5464 6144 8192 8196 10928 12288 16384 16392 17891 21856 24576 32768 32784 35782 43712 49152 53673 65536 65568 71564 87424 98304 107346 131072 131136 143128 174848 196608 214692 262272 286256 349696 393216 429384 524544 572512 699392 858768 1049088 1145024 1398784 1717536 2098176 2290048 2797568 3435072 4196352 4580096 5595136 6870144 8392704 9160192 11190272 12219553 13740288 16785408 18320384 22380544 24439106 27480576 33570816 36640768 36658659 44761088 48878212 54961152 67141632 73281536 73317318 89522176 97756424 109922304 134283264 146563072 146634636 195512848 219844608 268566528 293126144 293269272 391025696 439689216 586252288 586538544 782051392 879378432 1172504576 1173077088 1564102784 1758756864 2345009152 2346154176 3128205568 3517513728 4692308352 6256411136 7035027456 9384616704 12512822272 18769233408 25025644544 37538466816 50051289088 75076933632 100102578176 150153867264 200205156352 300307734528 400410312704 600615469056 800820625408 1201230938112 1601641250816 2402461876224 4804923752448