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245325313313352 = 2332101190117746241
BaseRepresentation
bin110111110001111101000000…
…001001111000101001001000
31012011121212111220001202222100
4313301331000021320221020
5224123402220202011402
62225432520523353400
7102450111650566416
oct6761750011705110
91164555456052870
10245325313313352
1171193976825158
1223621833082860
13a6b7101b6250c
144481b4680c2b6
151d5671b0ec71c
hexdf1f40278a48

245325313313352 has 96 divisors (see below), whose sum is σ = 671354176928760. Its totient is φ = 80922854400000.

The previous prime is 245325313313291. The next prime is 245325313313357. The reversal of 245325313313352 is 253313313523542.

245325313313352 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 2 + 531 + 3 + 31 + 33 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 221303885153796 + 24021428159556 = 14876286^2 + 4901166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 245325313313298 and 245325313313307.

It is not an unprimeable number, because it can be changed into a prime (245325313313357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4950952 + ... + 22697192.

Almost surely, 2245325313313352 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 245325313313352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335677088464380).

245325313313352 is an abundant number, since it is smaller than the sum of its proper divisors (426028863615408).

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

245325313313352 is a wasteful number, since it uses less digits than its factorization.

245325313313352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748255 (or 17748248 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 45.

Adding to 245325313313352 its reverse (253313313523542), we get a palindrome (498638626836894).

The spelling of 245325313313352 in words is "two hundred forty-five trillion, three hundred twenty-five billion, three hundred thirteen million, three hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 1901 2424 3636 3802 5703 7272 7604 11406 15208 17109 22812 34218 45624 68436 136872 192001 384002 576003 768004 1152006 1536008 1728009 2304012 3456018 4608024 6912036 13824072 17746241 35492482 53238723 70984964 106477446 141969928 159716169 212954892 319432338 425909784 638864676 1277729352 1792370341 3584740682 5377111023 7169481364 10754222046 14338962728 16131333069 21508444092 32262666138 33735604141 43016888184 64525332276 67471208282 101206812423 129050664552 134942416564 202413624846 269884833128 303620437269 404827249692 607240874538 809654499384 1214481749076 2428963498152 3407296018241 6814592036482 10221888054723 13629184072964 20443776109446 27258368145928 30665664164169 40887552218892 61331328328338 81775104437784 122662656656676 245325313313352