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6916197216 = 253313496659
BaseRepresentation
bin1100111000011110…
…01100101101100000
3122212000001012222110
412130033030231200
5103131021302331
63102142035320
7333250464165
oct63417145540
918760035873
106916197216
112a2a016375
121410278b40
13862b439b6
1449878406c
152a72b3946
hex19c3ccb60

6916197216 has 96 divisors (see below), whose sum is σ = 18797184000. Its totient is φ = 2224304640.

The previous prime is 6916197137. The next prime is 6916197241. The reversal of 6916197216 is 6127916196.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1035295 + ... + 1041953.

It is an arithmetic number, because the mean of its divisors is an integer number (195804000).

Almost surely, 26916197216 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 6916197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398592000).

6916197216 is an abundant number, since it is smaller than the sum of its proper divisors (11880986784).

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

6916197216 is a wasteful number, since it uses less digits than its factorization.

6916197216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7044 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 6916197216 is about 83163.6772635746. The cubic root of 6916197216 is about 1905.2667552406.

The spelling of 6916197216 in words is "six billion, nine hundred sixteen million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 349 372 496 698 744 992 1047 1396 1488 2094 2792 2976 4188 5584 6659 8376 10819 11168 13318 16752 19977 21638 26636 32457 33504 39954 43276 53272 64914 79908 86552 106544 129828 159816 173104 206429 213088 259656 319632 346208 412858 519312 619287 639264 825716 1038624 1238574 1651432 2323991 2477148 3302864 4647982 4954296 6605728 6971973 9295964 9908592 13943946 18591928 19817184 27887892 37183856 55775784 72043721 74367712 111551568 144087442 216131163 223103136 288174884 432262326 576349768 864524652 1152699536 1729049304 2305399072 3458098608 6916197216