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21601557247104 = 2732103661275419
BaseRepresentation
bin1001110100101100000010…
…01001010111010010000000
32211111002101122222100001200
410322112001021113102000
510312404442123401404
6113535341324101200
74356442504013652
oct472260111272200
984432348870050
1021601557247104
116979194a072aa
12250a639994800
13c09030a23c63
145497416b06d2
15276d8d021839
hex13a581257480

21601557247104 has 192 divisors, whose sum is σ = 62859415070400. Its totient is φ = 7119797667840.

The previous prime is 21601557247097. The next prime is 21601557247121. The reversal of 21601557247104 is 40174275510612.

21601557247104 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 1 + 5 + 572 + 4 + 71 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×216015572471042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21601557247104.

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 23 ways as a sum of consecutive naturals, for example, 78293907 + ... + 78569325.

It is an arithmetic number, because the mean of its divisors is an integer number (327392786825).

Almost surely, 221601557247104 is an apocalyptic number.

21601557247104 is a gapful number since it is divisible by the number (24) 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 21601557247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31429707535200).

21601557247104 is an abundant number, since it is smaller than the sum of its proper divisors (41257857823296).

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

21601557247104 is a wasteful number, since it uses less digits than its factorization.

21601557247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276203 (or 276188 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 21601557247104 in words is "twenty-one trillion, six hundred one billion, five hundred fifty-seven million, two hundred forty-seven thousand, one hundred four".