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21067150656 = 2632347101503
BaseRepresentation
bin10011100111101100…
…110011010101000000
32000101012120010202010
4103213230303111000
5321121142310111
613402250052520
71344030553206
oct234754632500
960335503663
1021067150656
118a30948112
1240bb41a140
131ca97c6726
14103bd13076
158347b3aa6
hex4e7b33540

21067150656 has 112 divisors (see below), whose sum is σ = 59401764864. Its totient is φ = 6574081536.

The previous prime is 21067150627. The next prime is 21067150667. The reversal of 21067150656 is 65605176012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 156801 + ... + 258303.

Almost surely, 221067150656 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 21067150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29700882432).

21067150656 is an abundant number, since it is smaller than the sum of its proper divisors (38334614208).

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

21067150656 is a wasteful number, since it uses less digits than its factorization.

21067150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101588 (or 101578 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 21067150656 in words is "twenty-one billion, sixty-seven million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 138 141 184 188 192 276 282 368 376 552 564 736 752 1081 1104 1128 1472 1504 2162 2208 2256 3008 3243 4324 4416 4512 6486 8648 9024 12972 17296 25944 34592 51888 69184 101503 103776 203006 207552 304509 406012 609018 812024 1218036 1624048 2334569 2436072 3248096 4669138 4770641 4872144 6496192 7003707 9338276 9541282 9744288 14007414 14311923 18676552 19082564 19488576 28014828 28623846 37353104 38165128 56029656 57247692 74706208 76330256 109724743 112059312 114495384 149412416 152660512 219449486 224118624 228990768 305321024 329174229 438898972 448237248 457981536 658348458 877797944 915963072 1316696916 1755595888 2633393832 3511191776 5266787664 7022383552 10533575328 21067150656