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6906064896 = 21232187339
BaseRepresentation
bin1100110111010001…
…00011000000000000
3122211021222110001100
412123220203000000
5103120423034041
63101140534400
7333065403663
oct63350430000
918737873040
106906064896
112a24325855
1214089b1400
13860a06b43
144972a76da
152a64616b6
hex19ba23000

6906064896 has 78 divisors (see below), whose sum is σ = 19948525220. Its totient is φ = 2302009344.

The previous prime is 6906064889. The next prime is 6906064903. The reversal of 6906064896 is 6984606096.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6906064889) and next prime (6906064903).

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 5 ways as a sum of consecutive naturals, for example, 56806 + ... + 130533.

Almost surely, 26906064896 is an apocalyptic number.

It is an amenable number.

6906064896 is an abundant number, since it is smaller than the sum of its proper divisors (13042460324).

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

6906064896 is a wasteful number, since it uses less digits than its factorization.

6906064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187369 (or 187344 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 6906064896 is about 83102.7369946381. The cubic root of 6906064896 is about 1904.3358868855.

It can be divided in two parts, 69060 and 64896, that added together give a square (133956 = 3662).

The spelling of 6906064896 in words is "six billion, nine hundred six million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 187339 374678 562017 749356 1124034 1498712 1686051 2248068 2997424 3372102 4496136 5994848 6744204 8992272 11989696 13488408 17984544 23979392 26976816 35969088 47958784 53953632 71938176 95917568 107907264 143876352 191835136 215814528 287752704 383670272 431629056 575505408 767340544 863258112 1151010816 1726516224 2302021632 3453032448 6906064896