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20988400896 = 283218150329
BaseRepresentation
bin10011100011000000…
…011001010100000000
32000011201101020101100
4103203000121110000
5320441012312041
613350354134400
71342053315111
oct234300312400
960151336340
1020988400896
1189a0450271
124098b81400
131c963b3438
141031694208
1582c90a6b6
hex4e3019500

20988400896 has 108 divisors (see below), whose sum is σ = 60850278580. Its totient is φ = 6957342720.

The previous prime is 20988400891. The next prime is 20988400907. The reversal of 20988400896 is 69800488902.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 20805177600 = 13536^2 + 144240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20988400891) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 391860 + ... + 442188.

Almost surely, 220988400896 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 20988400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30425139290).

20988400896 is an abundant number, since it is smaller than the sum of its proper divisors (39861877684).

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

20988400896 is a wasteful number, since it uses less digits than its factorization.

20988400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50532 (or 50515 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 20988400896 in words is "twenty billion, nine hundred eighty-eight million, four hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 543 576 724 768 1086 1152 1448 1629 2172 2304 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 26064 34752 46336 50329 52128 69504 100658 104256 139008 150987 201316 208512 301974 402632 417024 452961 603948 805264 905922 1207896 1610528 1811844 2415792 3221056 3623688 4831584 6442112 7247376 9109549 9663168 12884224 14494752 18219098 19326336 27328647 28989504 36438196 38652672 54657294 57979008 72876392 81985941 109314588 115958016 145752784 163971882 218629176 291505568 327943764 437258352 583011136 655887528 874516704 1166022272 1311775056 1749033408 2332044544 2623550112 3498066816 5247100224 6996133632 10494200448 20988400896