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6993424704 = 263729179429
BaseRepresentation
bin1101000001101011…
…10011000101000000
3200001101100210011210
412200311303011000
5103310304042304
63113541210120
7335206062210
oct64065630500
920041323153
106993424704
112a69673542
121432100940
13875b43136
144a4b28240
152ade6ac89
hex1a0d73140

6993424704 has 112 divisors (see below), whose sum is σ = 21876105600. Its totient is φ = 1929209856.

The previous prime is 6993424703. The next prime is 6993424717. The reversal of 6993424704 is 4074243996.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6993424703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50739 + ... + 128690.

Almost surely, 26993424704 is an apocalyptic number.

6993424704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6993424704 is an abundant number, since it is smaller than the sum of its proper divisors (14882680896).

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

6993424704 is a wasteful number, since it uses less digits than its factorization.

6993424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179480 (or 179470 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 6993424704 is about 83626.6985118987. The cubic root of 6993424704 is about 1912.3320385282.

The spelling of 6993424704 in words is "six billion, nine hundred ninety-three million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12992 19488 38976 179429 358858 538287 717716 1076574 1256003 1435432 2153148 2512006 2870864 3768009 4306296 5024012 5203441 5741728 7536018 8612592 10048024 10406882 11483456 15072036 15610323 17225184 20096048 20813764 30144072 31220646 34450368 36424087 40192096 41627528 60288144 62441292 72848174 80384192 83255056 109272261 120576288 124882584 145696348 166510112 218544522 241152576 249765168 291392696 333020224 437089044 499530336 582785392 874178088 999060672 1165570784 1748356176 2331141568 3496712352 6993424704