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21867388961380 = 2252952172365441
BaseRepresentation
bin1001111100011011001011…
…11100111000001001100100
32212102111112221020121100221
410332031211330320021210
510331233403033231010
6114301423444214124
74414603166215054
oct476154574701144
985374487217327
1021867388961380
116a709a8a94836
12255206839a344
13c28116a37101
1455855c969564
1527dc4ab8ddda
hex13e365f38264

21867388961380 has 48 divisors (see below), whose sum is σ = 47596198512240. Its totient is φ = 8429126451200.

The previous prime is 21867388961321. The next prime is 21867388961437. The reversal of 21867388961380 is 8316988376812.

It can be written as a sum of positive squares in 8 ways, for example, as 109810053376 + 21757578908004 = 331376^2 + 4664502^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35880541 + ... + 36484900.

It is an arithmetic number, because the mean of its divisors is an integer number (991587469005).

Almost surely, 221867388961380 is an apocalyptic number.

21867388961380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21867388961380 is an abundant number, since it is smaller than the sum of its proper divisors (25728809550860).

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

21867388961380 is a wasteful number, since it uses less digits than its factorization.

21867388961380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72366000 (or 72365998 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 70.

The spelling of 21867388961380 in words is "twenty-one trillion, eight hundred sixty-seven billion, three hundred eighty-eight million, nine hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 521 580 1042 2084 2605 5210 10420 15109 30218 60436 75545 151090 302180 72365441 144730882 289461764 361827205 723654410 1447308820 2098597789 4197195578 8394391156 10492988945 20985977890 37702394761 41971955780 75404789522 150809579044 188511973805 377023947610 754047895220 1093369448069 2186738896138 4373477792276 5466847240345 10933694480690 21867388961380