Search a number
-
+
2534068604352 = 263195911773661
BaseRepresentation
bin100100111000000010010…
…000100100110111000000
322222020212121010222111210
4210320002100210313000
5313004233030314402
65220045100410120
7351036403511505
oct44700220446700
98866777128453
102534068604352
11897768733a4a
1234b152546940
13154c6696911c
148a91460d4ac
1545db4a1206c
hex24e02424dc0

2534068604352 has 112 divisors (see below), whose sum is σ = 7177224355200. Its totient is φ = 786668866560.

The previous prime is 2534068604339. The next prime is 2534068604401.

2534068604352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25340686043522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5671599 + ... + 6102062.

Almost surely, 22534068604352 is an apocalyptic number.

It is an amenable number.

2534068604352 is an abundant number, since it is smaller than the sum of its proper divisors (4643155750848).

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

2534068604352 is a wasteful number, since it uses less digits than its factorization.

2534068604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11773754 (or 11773744 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 2534068604352 in words is "two trillion, five hundred thirty-four billion, sixty-eight million, six hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 152 177 192 228 236 304 354 456 472 608 708 912 944 1121 1216 1416 1824 1888 2242 2832 3363 3648 3776 4484 5664 6726 8968 11328 13452 17936 26904 35872 53808 71744 107616 215232 11773661 23547322 35320983 47094644 70641966 94189288 141283932 188378576 223699559 282567864 376757152 447399118 565135728 671098677 694645999 753514304 894798236 1130271456 1342197354 1389291998 1789596472 2083937997 2260542912 2684394708 2778583996 3579192944 4167875994 5368789416 5557167992 7158385888 8335751988 10737578832 11114335984 13198273981 14316771776 16671503976 21475157664 22228671968 26396547962 33343007952 39594821943 42950315328 44457343936 52793095924 66686015904 79189643886 105586191848 133372031808 158379287772 211172383696 316758575544 422344767392 633517151088 844689534784 1267034302176 2534068604352