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5448920783136 = 253891697937561
BaseRepresentation
bin100111101001010110011…
…1111001101100100100000
3201021220121122202202210220
41033102230333031210200
51203233342210030021
615331111042523040
71101446223313065
oct117225477154440
921256548682726
105448920783136
111810968802346
12740054666480
13306aa59ba35c
1414ba2cbcac6c
1596b13d81cc6
hex4f4acfcd920

5448920783136 has 96 divisors (see below), whose sum is σ = 14465366596800. Its totient is φ = 1795745402880.

The previous prime is 5448920783107. The next prime is 5448920783149. The reversal of 5448920783136 is 6313870298445.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5448920783136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145049796 + ... + 145087356.

It is an arithmetic number, because the mean of its divisors is an integer number (150680902050).

It is a 1-persistent number, because it is pandigital, but 2⋅5448920783136 = 10897841566272 is not.

Almost surely, 25448920783136 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 5448920783136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232683298400).

5448920783136 is an abundant number, since it is smaller than the sum of its proper divisors (9016445813664).

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

5448920783136 is a wasteful number, since it uses less digits than its factorization.

5448920783136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54642 (or 54634 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 5448920783136 in words is "five trillion, four hundred forty-eight billion, nine hundred twenty million, seven hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 16979 33958 37561 50937 67916 75122 101874 112683 135832 150244 203748 225366 271664 300488 407496 450732 543328 600976 814992 901464 1201952 1511131 1629984 1802928 3022262 3342929 3605856 4533393 6044524 6685858 9066786 10028787 12089048 13371716 18133572 20057574 24178096 26743432 36267144 40115148 48356192 53486864 72534288 80230296 106973728 145068576 160460592 320921184 637748219 1275496438 1913244657 2550992876 3826489314 5101985752 7652978628 10203971504 15305957256 20407943008 30611914512 56759591491 61223829024 113519182982 170278774473 227038365964 340557548946 454076731928 681115097892 908153463856 1362230195784 1816306927712 2724460391568 5448920783136