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6891428948928 = 2631571811263077
BaseRepresentation
bin110010001001000100100…
…1011001010101111000000
3220101210222112101010102120
41210102021023022233000
51400402121302331203
622353513451044240
71310614014362466
oct144221113125700
926353875333376
106891428948928
112217702a89767
12933731740680
133acb221a4944
1419b792b3c836
15be3ddcb8b53
hex644892cabc0

6891428948928 has 112 divisors (see below), whose sum is σ = 18451104051744. Its totient is φ = 2269899141120.

The previous prime is 6891428948923. The next prime is 6891428949019. The reversal of 6891428948928 is 8298498241986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6891428948923) 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 15 ways as a sum of consecutive naturals, for example, 4824526 + ... + 6087602.

It is an arithmetic number, because the mean of its divisors is an integer number (164742000462).

Almost surely, 26891428948928 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 6891428948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225552025872).

6891428948928 is an abundant number, since it is smaller than the sum of its proper divisors (11559675102816).

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

6891428948928 is a wasteful number, since it uses less digits than its factorization.

6891428948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263430 (or 1263420 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 78.

The spelling of 6891428948928 in words is "six trillion, eight hundred ninety-one billion, four hundred twenty-eight million, nine hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 181 192 314 362 471 543 628 724 942 1086 1256 1448 1884 2172 2512 2896 3768 4344 5024 5792 7536 8688 10048 11584 15072 17376 28417 30144 34752 56834 85251 113668 170502 227336 341004 454672 682008 909344 1263077 1364016 1818688 2526154 2728032 3789231 5052308 5456064 7578462 10104616 15156924 20209232 30313848 40418464 60627696 80836928 121255392 198303089 228616937 242510784 396606178 457233874 594909267 685850811 793212356 914467748 1189818534 1371701622 1586424712 1828935496 2379637068 2743403244 3172849424 3657870992 4759274136 5486806488 6345698848 7315741984 9518548272 10973612976 12691397696 14631483968 19037096544 21947225952 35892859109 38074193088 43894451904 71785718218 107678577327 143571436436 215357154654 287142872872 430714309308 574285745744 861428618616 1148571491488 1722857237232 2297142982976 3445714474464 6891428948928