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481108417272 = 233272731868063
BaseRepresentation
bin1110000000001000100…
…10111101101011111000
31200222211021100212122100
413000010102331223320
530340302223323042
61005003531023400
746521213033600
oct7000422755370
91628737325570
10481108417272
1117604518280a
12792aa29ab60
13364a32b0162
141940022bc00
15c7ac36224c
hex70044bdaf8

481108417272 has 144 divisors (see below), whose sum is σ = 1536501320640. Its totient is φ = 135576467712.

The previous prime is 481108417243. The next prime is 481108417277. The reversal of 481108417272 is 272714801184.

481108417272 is a `hidden beast` number, since 481 + 10 + 84 + 17 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481108417277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676488 + ... + 1191575.

It is an arithmetic number, because the mean of its divisors is an integer number (10670148060).

Almost surely, 2481108417272 is an apocalyptic number.

481108417272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

481108417272 is an abundant number, since it is smaller than the sum of its proper divisors (1055392903368).

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

481108417272 is a wasteful number, since it uses less digits than its factorization.

481108417272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868162 (or 1868148 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 481108417272 in words is "four hundred eighty-one billion, one hundred eight million, four hundred seventeen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 73 84 98 126 146 147 168 196 219 252 292 294 392 438 441 504 511 584 588 657 876 882 1022 1176 1314 1533 1752 1764 2044 2628 3066 3528 3577 4088 4599 5256 6132 7154 9198 10731 12264 14308 18396 21462 28616 32193 36792 42924 64386 85848 128772 257544 1868063 3736126 5604189 7472252 11208378 13076441 14944504 16812567 22416756 26152882 33625134 39229323 44833512 52305764 67250268 78458646 91535087 104611528 117687969 134500536 136368599 156917292 183070174 235375938 272737198 274605261 313834584 366140348 409105797 470751876 545474396 549210522 732280696 818211594 823815783 941503752 954580193 1090948792 1098421044 1227317391 1636423188 1647631566 1909160386 2196842088 2454634782 2863740579 3272846376 3295263132 3818320772 4909269564 5727481158 6590526264 6682061351 7636641544 8591221737 9818539128 11454962316 13364122702 17182443474 20046184053 22909924632 26728245404 34364886948 40092368106 53456490808 60138552159 68729773896 80184736212 120277104318 160369472424 240554208636 481108417272