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5452341216 = 253715751679
BaseRepresentation
bin1010001001111110…
…00001111111100000
3112001222112122001120
411010333001333200
542131244404331
62301010332240
7252054064350
oct50477017740
915058478046
105452341216
112348782723
121081b8a080
1368b79810a
1439a1acb60
1521da08796
hex144fc1fe0

5452341216 has 96 divisors (see below), whose sum is σ = 16461527040. Its totient is φ = 1547859456.

The previous prime is 5452341203. The next prime is 5452341221. The reversal of 5452341216 is 6121432545.

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

It is an alternating number because its digits alternate between odd and even.

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, 79665 + ... + 131343.

It is an arithmetic number, because the mean of its divisors is an integer number (171474240).

Almost surely, 25452341216 is an apocalyptic number.

5452341216 is a gapful number since it is divisible by the number (56) 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 5452341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230763520).

5452341216 is an abundant number, since it is smaller than the sum of its proper divisors (11009185824).

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

5452341216 is a wasteful number, since it uses less digits than its factorization.

5452341216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51856 (or 51848 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5452341216 is about 73839.9703141869. The cubic root of 5452341216 is about 1760.0608209009.

The spelling of 5452341216 in words is "five billion, four hundred fifty-two million, three hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 157 168 224 314 336 471 628 672 942 1099 1256 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 13188 15072 17584 26376 35168 51679 52752 103358 105504 155037 206716 310074 361753 413432 620148 723506 826864 1085259 1240296 1447012 1653728 2170518 2480592 2894024 4341036 4961184 5788048 8113603 8682072 11576096 16227206 17364144 24340809 32454412 34728288 48681618 56795221 64908824 97363236 113590442 129817648 170385663 194726472 227180884 259635296 340771326 389452944 454361768 681542652 778905888 908723536 1363085304 1817447072 2726170608 5452341216