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99966568 = 231331101307
BaseRepresentation
bin1011111010101…
…01111001101000
320222002211100111
411331111321220
5201042412233
613530344104
72322462502
oct575257150
9228084314
1099966568
11514793a9
122958b034
1317931520
14d3c2d72
158b99acd
hex5f55e68

99966568 has 64 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 44064000.

The previous prime is 99966557. The next prime is 99966577. The reversal of 99966568 is 86566999.

It is a happy 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, 325471 + ... + 325777.

It is an arithmetic number, because the mean of its divisors is an integer number (3298680).

Almost surely, 299966568 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 99966568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

99966568 is an abundant number, since it is smaller than the sum of its proper divisors (111148952).

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

99966568 is a wasteful number, since it uses less digits than its factorization.

99966568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 58.

The square root of 99966568 is about 9998.3282602643. The cubic root of 99966568 is about 464.1071517299.

The spelling of 99966568 in words is "ninety-nine million, nine hundred sixty-six thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 101 104 124 202 248 307 403 404 614 806 808 1228 1313 1612 2456 2626 3131 3224 3991 5252 6262 7982 9517 10504 12524 15964 19034 25048 31007 31928 38068 40703 62014 76136 81406 123721 124028 162812 247442 248056 325624 403091 494884 806182 961217 989768 1612364 1922434 3224728 3844868 7689736 12495821 24991642 49983284 99966568