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28965936696 = 23319232120079
BaseRepresentation
bin11010111110100000…
…010001111000111000
32202202200112001012020
4122332200101320320
5433310234433241
621150132314440
72043542254014
oct327640217070
982680461166
1028965936696
1111314574a64
125744772a20
13296808c618
14158ad91544
15b47e69b66
hex6be811e38

28965936696 has 96 divisors (see below), whose sum is σ = 79685088000. Its totient is φ = 8749363392.

The previous prime is 28965936691. The next prime is 28965936697. The reversal of 28965936696 is 69663956982.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 28965936696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28965936691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181185 + ... + 301263.

It is an arithmetic number, because the mean of its divisors is an integer number (830053000).

Almost surely, 228965936696 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 28965936696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39842544000).

28965936696 is an abundant number, since it is smaller than the sum of its proper divisors (50719151304).

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

28965936696 is a wasteful number, since it uses less digits than its factorization.

28965936696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120153 (or 120126 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 69.

The spelling of 28965936696 in words is "twenty-eight billion, nine hundred sixty-five million, nine hundred thirty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 529 552 874 1058 1311 1587 1748 2116 2622 3174 3496 4232 5244 6348 10051 10488 12696 20102 30153 40204 60306 80408 120079 120612 240158 241224 360237 480316 720474 960632 1440948 2281501 2761817 2881896 4563002 5523634 6844503 8285451 9126004 11047268 13689006 16570902 18252008 22094536 27378012 33141804 52474523 54756024 63521791 66283608 104949046 127043582 157423569 190565373 209898092 254087164 314847138 381130746 419796184 508174328 629694276 762261492 1206914029 1259388552 1524522984 2413828058 3620742087 4827656116 7241484174 9655312232 14482968348 28965936696