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706016366772 = 2231753257254083
BaseRepresentation
bin10100100011000011101…
…10101101000010110100
32111111100111100111101220
422101201312231002310
543031410142214042
61300201152550340
7102002513046303
oct12214166550264
92444314314356
10706016366772
11252468919042
12b49b75523b0
1351766a46492
142625837443a
15135723748ec
hexa461dad0b4

706016366772 has 96 divisors (see below), whose sum is σ = 1784108737152. Its totient is φ = 216469733376.

The previous prime is 706016366761. The next prime is 706016366801. The reversal of 706016366772 is 277663610607.

It is a super-2 number, since 2×7060163667722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2651643 + ... + 2905725.

It is an arithmetic number, because the mean of its divisors is an integer number (18584466012).

Almost surely, 2706016366772 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 706016366772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892054368576).

706016366772 is an abundant number, since it is smaller than the sum of its proper divisors (1078092370380).

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

706016366772 is a wasteful number, since it uses less digits than its factorization.

706016366772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254417 (or 254415 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The spelling of 706016366772 in words is "seven hundred six billion, sixteen million, three hundred sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 257 318 514 636 771 901 1028 1542 1802 2703 3084 3604 4369 5406 8738 10812 13107 13621 17476 26214 27242 40863 52428 54484 81726 163452 231557 254083 463114 508166 694671 762249 926228 1016332 1389342 1524498 2778684 3048996 4319411 8638822 12958233 13466399 17277644 25916466 26932798 40399197 51832932 53865596 65299331 80798394 130598662 161596788 195897993 228928783 261197324 391795986 457857566 686786349 783591972 915715132 1110088627 1373572698 2220177254 2747145396 3330265881 3460864543 4440354508 6660531762 6921729086 10382593629 13321063524 13843458172 20765187258 41530374516 58834697231 117669394462 176504091693 235338788924 353008183386 706016366772