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5613213216 = 253135717877
BaseRepresentation
bin1010011101001001…
…01101011000100000
3112111012020202221210
411032210231120200
542443440310331
62324554350120
7256046345052
oct51644553040
915435222853
105613213216
112420570196
121107a2b340
136b5c02750
143b36c78d2
1522cbd4446
hex14e92d620

5613213216 has 96 divisors (see below), whose sum is σ = 15897930048. Its totient is φ = 1723898880.

The previous prime is 5613213161. The next prime is 5613213239. The reversal of 5613213216 is 6123123165.

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

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, 708670 + ... + 716546.

It is an arithmetic number, because the mean of its divisors is an integer number (165603438).

Almost surely, 25613213216 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 5613213216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948965024).

5613213216 is an abundant number, since it is smaller than the sum of its proper divisors (10284716832).

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

5613213216 is a wasteful number, since it uses less digits than its factorization.

5613213216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474 (or 8466 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 5613213216 is about 74921.3802328815. The cubic root of 5613213216 is about 1777.2035811229.

The spelling of 5613213216 in words is "five billion, six hundred thirteen million, two hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 571 624 1142 1248 1713 2284 3426 4568 6852 7423 7877 9136 13704 14846 15754 18272 22269 23631 27408 29692 31508 44538 47262 54816 59384 63016 89076 94524 102401 118768 126032 178152 189048 204802 237536 252064 307203 356304 378096 409604 614406 712608 756192 819208 1228812 1638416 2457624 3276832 4497767 4915248 8995534 9830496 13493301 17991068 26986602 35982136 53973204 58470971 71964272 107946408 116941942 143928544 175412913 215892816 233883884 350825826 431785632 467767768 701651652 935535536 1403303304 1871071072 2806606608 5613213216