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42475561216 = 2811211712
BaseRepresentation
bin100111100011101111…
…011010000100000000
311001122012021002001221
4213203233122010000
51143442220424331
631302450404424
73032404212304
oct474357320400
9131565232057
1042475561216
111701738a900
128294b90714
13400bc0609a
1420ad299d04
151188ed6711
hex9e3bda100

42475561216 has 81 divisors (see below), whose sum is σ = 93273304719. Its totient is φ = 19290585600.

The previous prime is 42475561181. The next prime is 42475561223. The reversal of 42475561216 is 61216557424.

The square root of 42475561216 is 206096.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×424755612162 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36272311 + ... + 36273481.

Almost surely, 242475561216 is an apocalyptic number.

42475561216 is the 206096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42475561216

42475561216 is an abundant number, since it is smaller than the sum of its proper divisors (50797743503).

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

42475561216 is an frugal number, since it uses more digits than its factorization.

42475561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 1184 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The spelling of 42475561216 in words is "forty-two billion, four hundred seventy-five million, five hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1171 1408 1936 2342 2816 3872 4684 7744 9368 12881 15488 18736 25762 30976 37472 51524 74944 103048 141691 149888 206096 283382 299776 412192 566764 824384 1133528 1371241 1648768 2267056 2742482 3297536 4534112 5484964 9068224 10969928 15083651 18136448 21939856 30167302 36272896 43879712 60334604 87759424 120669208 165920161 175518848 241338416 331840322 351037696 482676832 663680644 965353664 1327361288 1930707328 2654722576 3861414656 5309445152 10618890304 21237780608 42475561216