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66662105172 = 2231315711872293
BaseRepresentation
bin111110000101010111…
…110000000001010100
320101001210111210222020
4332011113300001110
52043010444331142
650342452133140
74546643354565
oct760527600124
9211053453866
1066662105172
11262a9025303
1210b050071b0
136394a57a60
1433255b416c
151b02574cec
hexf855f0054

66662105172 has 96 divisors (see below), whose sum is σ = 168792446592. Its totient is φ = 20354720256.

The previous prime is 66662105099. The next prime is 66662105183. The reversal of 66662105172 is 27150126666.

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, 29070858 + ... + 29073150.

It is an arithmetic number, because the mean of its divisors is an integer number (1758254652).

Almost surely, 266662105172 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 66662105172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84396223296).

66662105172 is an abundant number, since it is smaller than the sum of its proper divisors (102130341420).

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

66662105172 is a wasteful number, since it uses less digits than its factorization.

66662105172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 66662105172 in words is "sixty-six billion, six hundred sixty-two million, one hundred five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1187 1884 2041 2293 2374 3561 4082 4586 4748 6123 6879 7122 8164 9172 12246 13758 14244 15431 24492 27516 29809 30862 46293 59618 61724 89427 92586 119236 178854 185172 186359 357708 360001 372718 559077 720002 745436 1080003 1118154 1440004 2160006 2236308 2422667 2721791 4320012 4680013 4845334 5443582 7268001 8165373 9360026 9690668 10887164 14040039 14536002 16330746 18720052 28080078 29072004 32661492 35383283 56160156 70766566 106149849 141533132 212299698 424599396 427321187 854642374 1281963561 1709284748 2563927122 5127854244 5555175431 11110350862 16665526293 22220701724 33331052586 66662105172