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5448317188704 = 2531321112068043
BaseRepresentation
bin100111101001000100100…
…0000101011101001100000
3201021212001120222222220120
41033102021000223221200
51203231123200014304
615330531121440240
71101425243663415
oct117221100535140
921255046888816
105448317188704
111810689019975
1273bb064a0080
13306a0a9336a0
1414b9b298a10c
1596acada40d9
hex4f48902ba60

5448317188704 has 96 divisors (see below), whose sum is σ = 15409277097984. Its totient is φ = 1675610350080.

The previous prime is 5448317188697. The next prime is 5448317188747. The reversal of 5448317188704 is 4078817138445.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600507 + ... + 3668549.

It is an arithmetic number, because the mean of its divisors is an integer number (160513303104).

Almost surely, 25448317188704 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 5448317188704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704638548992).

5448317188704 is an abundant number, since it is smaller than the sum of its proper divisors (9960959909280).

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

5448317188704 is a wasteful number, since it uses less digits than its factorization.

5448317188704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070180 (or 2070172 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 5448317188704 in words is "five trillion, four hundred forty-eight billion, three hundred seventeen million, one hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2111 4222 6333 8444 12666 16888 25332 27443 33776 50664 54886 67552 82329 101328 109772 164658 202656 219544 329316 439088 658632 878176 1317264 2068043 2634528 4136086 6204129 8272172 12408258 16544344 24816516 26884559 33088688 49633032 53769118 66177376 80653677 99266064 107538236 161307354 198532128 215076472 322614708 430152944 645229416 860305888 1290458832 2580917664 4365638773 8731277546 13096916319 17462555092 26193832638 34925110184 52387665276 56753304049 69850220368 104775330552 113506608098 139700440736 170259912147 209550661104 227013216196 340519824294 419101322208 454026432392 681039648588 908052864784 1362079297176 1816105729568 2724158594352 5448317188704