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99641216 = 2717291579
BaseRepresentation
bin1011111000001…
…10011110000000
320221111022001102
411330012132000
5201002004331
613515353532
72316636113
oct574063600
9227438042
1099641216
1151276a14
12294528a8
13178493cc
14d33a57a
158b334cb
hex5f06780

99641216 has 64 divisors (see below), whose sum is σ = 217566000. Its totient is φ = 45244416.

The previous prime is 99641207. The next prime is 99641257. The reversal of 99641216 is 61214699.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 99641216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62315 + ... + 63893.

Almost surely, 299641216 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 99641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108783000).

99641216 is an abundant number, since it is smaller than the sum of its proper divisors (117924784).

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

99641216 is a wasteful number, since it uses less digits than its factorization.

99641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1627 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 99641216 is about 9982.0446803248. The cubic root of 99641216 is about 463.6031088844.

The spelling of 99641216 in words is "ninety-nine million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 928 986 1088 1579 1856 1972 2176 3158 3712 3944 6316 7888 12632 15776 25264 26843 31552 45791 50528 53686 63104 91582 101056 107372 183164 202112 214744 366328 429488 732656 778447 858976 1465312 1556894 1717952 2930624 3113788 3435904 5861248 6227576 12455152 24910304 49820608 99641216