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6906371712 = 273191496353
BaseRepresentation
bin1100110111010011…
…01101111010000000
3122211022120000220220
412123221231322000
5103121012343322
63101151303040
7333101122332
oct63351557200
918738500826
106906371712
112a24515319
121408b1aa80
13860ab36a6
14497347452
152a64c255c
hex19ba6de80

6906371712 has 128 divisors (see below), whose sum is σ = 19443240000. Its totient is φ = 2165981184.

The previous prime is 6906371699. The next prime is 6906371743. The reversal of 6906371712 is 2171736096.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1083928 + ... + 1090280.

Almost surely, 26906371712 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 6906371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721620000).

6906371712 is an abundant number, since it is smaller than the sum of its proper divisors (12536868288).

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

6906371712 is a wasteful number, since it uses less digits than its factorization.

6906371712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 6906371712 is about 83104.5829783171. The cubic root of 6906371712 is about 1904.3640878014.

The spelling of 6906371712 in words is "six billion, nine hundred six million, three hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 149 152 192 228 298 304 384 447 456 596 608 894 912 1192 1216 1788 1824 2384 2432 2831 3576 3648 4768 5662 6353 7152 7296 8493 9536 11324 12706 14304 16986 19059 19072 22648 25412 28608 33972 38118 45296 50824 57216 67944 76236 90592 101648 120707 135888 152472 181184 203296 241414 271776 304944 362121 362368 406592 482828 543552 609888 724242 813184 946597 965656 1087104 1219776 1448484 1893194 1931312 2439552 2839791 2896968 3786388 3862624 5679582 5793936 7572776 7725248 11359164 11587872 15145552 15450496 17985343 22718328 23175744 30291104 35970686 45436656 46351488 53956029 60582208 71941372 90873312 107912058 121164416 143882744 181746624 215824116 287765488 363493248 431648232 575530976 863296464 1151061952 1726592928 2302123904 3453185856 6906371712