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472364861085 = 335131275773673
BaseRepresentation
bin1101101111110110010…
…00111100011010011101
31200011020220211012102000
412313323020330122131
530214400401023320
61001000150152513
746061433033255
oct6677310743235
91604226735360
10472364861085
11172368716617
127766a052739
133570b9ba580
1418c10ccc965
15c44993dc90
hex6dfb23c69d

472364861085 has 128 divisors (see below), whose sum is σ = 913305845760. Its totient is φ = 230255198208.

The previous prime is 472364861051. The next prime is 472364861099. The reversal of 472364861085 is 580168463274.

It is a happy number.

472364861085 is a `hidden beast` number, since 4 + 72 + 3 + 6 + 486 + 10 + 85 = 666.

It is not a de Polignac number, because 472364861085 - 212 = 472364856989 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128602809 + ... + 128606481.

It is an arithmetic number, because the mean of its divisors is an integer number (7135201920).

Almost surely, 2472364861085 is an apocalyptic number.

472364861085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472364861085 is a deficient number, since it is larger than the sum of its proper divisors (440940984675).

472364861085 is a wasteful number, since it uses less digits than its factorization.

472364861085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 472364861085 in words is "four hundred seventy-two billion, three hundred sixty-four million, eight hundred sixty-one thousand, eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 127 135 195 351 381 577 585 635 1143 1651 1731 1755 1905 2885 3429 3673 4953 5193 5715 7501 8255 8655 11019 14859 15579 17145 18365 22503 24765 25965 33057 37505 44577 47749 55095 67509 73279 74295 77895 99171 112515 143247 165285 202527 219837 222885 238745 337545 366395 429741 466471 495855 659511 716235 952627 1012635 1099185 1289223 1399413 1978533 2119321 2148705 2332355 2857881 3297555 4198239 4763135 6064123 6357963 6446115 6997065 8573643 9892665 10596605 12594717 14289405 18192369 19073889 20991195 25720929 27551173 30320615 31789815 42868215 54577107 57221667 62973585 82653519 90961845 95369445 128604645 137755865 163731321 247960557 269153767 272885535 286108335 413267595 743881671 807461301 818656605 1239802785 1345768835 2422383903 3498998971 3719408355 4037306505 7267151709 10496996913 12111919515 17494994855 31490990739 36335758545 52484984565 94472972217 157454953695 472364861085