Search a number
-
+
472813725737060 = 225172947952710521
BaseRepresentation
bin110101110000001011000011…
…0001010101110000001100100
32022000002112212111021011102222
41223200112012022232001210
5443433040002242041220
64353331343234051512
7201406443614506541
oct15340260612560144
92260075774234388
10472813725737060
111277201a1a4a744
1245042574119b98
13173a91b22b8096
1484a8440ba7bc8
15399de83dede25
hex1ae05862ae064

472813725737060 has 48 divisors (see below), whose sum is σ = 1087567474638960. Its totient is φ = 171862514503680.

The previous prime is 472813725736997. The next prime is 472813725737063. The reversal of 472813725737060 is 60737527318274.

It can be written as a sum of positive squares in 8 ways, for example, as 33619888606756 + 439193837130304 = 5798266^2 + 20956952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 472813725736984 and 472813725737002.

It is not an unprimeable number, because it can be changed into a prime (472813725737063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23976345401 + ... + 23976365120.

It is an arithmetic number, because the mean of its divisors is an integer number (22657655721645).

Almost surely, 2472813725737060 is an apocalyptic number.

It is an amenable number.

472813725737060 is an abundant number, since it is smaller than the sum of its proper divisors (614753748901900).

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

472813725737060 is a wasteful number, since it uses less digits than its factorization.

472813725737060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47952710576 (or 47952710574 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 62.

The spelling of 472813725737060 in words is "four hundred seventy-two trillion, eight hundred thirteen billion, seven hundred twenty-five million, seven hundred thirty-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 47952710521 95905421042 191810842084 239763552605 479527105210 815196078857 959054210420 1390628605109 1630392157714 2781257210218 3260784315428 4075980394285 5562514420436 6953143025545 8151960788570 13906286051090 16303921577140 23640686286853 27812572102180 47281372573706 94562745147412 118203431434265 236406862868530 472813725737060