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26988292128 = 2537221792633
BaseRepresentation
bin11001001000101000…
…001010100000100000
32120122212020021212010
4121020220022200200
5420233000322003
620222004432520
71643536461300
oct311050124040
976585207763
1026988292128
111049a207366
1252923a8740
132711441835
141440475600
15a7e521003
hex648a0a820

26988292128 has 144 divisors (see below), whose sum is σ = 82479811680. Its totient is φ = 7704474624.

The previous prime is 26988292117. The next prime is 26988292157. The reversal of 26988292128 is 82129288962.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10248700 + ... + 10251332.

It is an arithmetic number, because the mean of its divisors is an integer number (572776470).

Almost surely, 226988292128 is an apocalyptic number.

26988292128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26988292128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41239905840).

26988292128 is an abundant number, since it is smaller than the sum of its proper divisors (55491519552).

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

26988292128 is a wasteful number, since it uses less digits than its factorization.

26988292128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4824 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The spelling of 26988292128 in words is "twenty-six billion, nine hundred eighty-eight million, two hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2179 2352 2633 4358 4704 5266 6537 7899 8716 10532 13074 15253 15798 17432 18431 21064 26148 30506 31596 34864 36862 42128 45759 52296 55293 61012 63192 69728 73724 84256 91518 104592 106771 110586 122024 126384 129017 147448 183036 209184 213542 221172 244048 252768 258034 294896 320313 366072 387051 427084 442344 488096 516068 589792 640626 732144 774102 854168 884688 1032136 1281252 1464288 1548204 1708336 1769376 2064272 2562504 3096408 3416672 4128544 5125008 5737307 6192816 10250016 11474614 12385632 17211921 22949228 34423842 40161149 45898456 68847684 80322298 91796912 120483447 137695368 160644596 183593824 240966894 275390736 281128043 321289192 481933788 550781472 562256086 642578384 843384129 963867576 1124512172 1285156768 1686768258 1927735152 2249024344 3373536516 3855470304 4498048688 6747073032 8996097376 13494146064 26988292128