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99185664 = 210383389
BaseRepresentation
bin1011110100101…
…11010000000000
320220122011011010
411322113100000
5200342420124
613501520520
72313031014
oct572272000
9226564133
1099185664
1150a95726
1229273140
1317719c56
14d25c544
158a93529
hex5e97400

99185664 has 88 divisors (see below), whose sum is σ = 268238880. Its totient is φ = 32579584.

The previous prime is 99185659. The next prime is 99185677. The reversal of 99185664 is 46658199.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254782 + ... + 255170.

Almost surely, 299185664 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 99185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119440).

99185664 is an abundant number, since it is smaller than the sum of its proper divisors (169053216).

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

99185664 is a wasteful number, since it uses less digits than its factorization.

99185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 99185664 is about 9959.1999678689. The cubic root of 99185664 is about 462.8955101342.

The spelling of 99185664 in words is "ninety-nine million, one hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 389 498 512 664 768 778 996 1024 1167 1328 1536 1556 1992 2334 2656 3072 3112 3984 4668 5312 6224 7968 9336 10624 12448 15936 18672 21248 24896 31872 32287 37344 42496 49792 63744 64574 74688 84992 96861 99584 127488 129148 149376 193722 199168 254976 258296 298752 387444 398336 516592 597504 774888 1033184 1195008 1549776 2066368 3099552 4132736 6199104 8265472 12398208 16530944 24796416 33061888 49592832 99185664