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472596921160 = 235713383338993
BaseRepresentation
bin1101110000010001111…
…10001011101101001000
31200011212002111001222121
412320020332023231020
530220334302434120
61001035200101024
746100251356250
oct6701076135510
91604762431877
10472596921160
11172477706801
1277713904774
1335747abb420
1418c33a58960
15c45eecc5aa
hex6e08f8bb48

472596921160 has 128 divisors (see below), whose sum is σ = 1312150855680. Its totient is φ = 149178175488.

The previous prime is 472596921109. The next prime is 472596921161. The reversal of 472596921160 is 61129695274.

It is a super-2 number, since 2×4725969211602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 472596921098 and 472596921107.

It is not an unprimeable number, because it can be changed into a prime (472596921161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224624 + ... + 1563616.

It is an arithmetic number, because the mean of its divisors is an integer number (10251178560).

Almost surely, 2472596921160 is an apocalyptic number.

472596921160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472596921160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656075427840).

472596921160 is an abundant number, since it is smaller than the sum of its proper divisors (839553934520).

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

472596921160 is a wasteful number, since it uses less digits than its factorization.

472596921160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339407 (or 339403 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 472596921160 in words is "four hundred seventy-two billion, five hundred ninety-six million, nine hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 383 455 520 728 766 910 1532 1820 1915 2681 3064 3640 3830 4979 5362 7660 9958 10724 13405 15320 19916 21448 24895 26810 34853 39832 49790 53620 69706 99580 107240 139412 174265 199160 278824 338993 348530 677986 697060 1355972 1394120 1694965 2372951 2711944 3389930 4406909 4745902 6779860 8813818 9491804 11864755 13559720 17627636 18983608 22034545 23729510 30848363 35255272 44069090 47459020 61696726 88138180 94918040 123393452 129834319 154241815 176276360 246786904 259668638 308483630 519337276 616967260 649171595 908840233 1038674552 1233934520 1298343190 1687846147 1817680466 2596686380 3375692294 3635360932 4544201165 5193372760 6751384588 7270721864 8439230735 9088402330 11814923029 13502769176 16878461470 18176804660 23629846058 33756922940 36353609320 47259692116 59074615145 67513845880 94519384232 118149230290 236298460580 472596921160