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1374135568 = 2413172291697
BaseRepresentation
bin101000111100111…
…1010010100010000
310112202200022121221
41101321322110100
510303234314233
6344204254424
746023650101
oct12171722420
93482608557
101374135568
11645733433
12324241414
1318b8c3c90
14d06dc3a8
158098642d
hex51e7a510

1374135568 has 80 divisors (see below), whose sum is σ = 3050898480. Its totient is φ = 593952768.

The previous prime is 1374135533. The next prime is 1374135571. The reversal of 1374135568 is 8655314731.

It can be written as a sum of positive squares in 8 ways, for example, as 325153024 + 1048982544 = 18032^2 + 32388^2 .

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, 808896 + ... + 810592.

It is an arithmetic number, because the mean of its divisors is an integer number (38136231).

Almost surely, 21374135568 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 1374135568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525449240).

1374135568 is an abundant number, since it is smaller than the sum of its proper divisors (1676762912).

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

1374135568 is a wasteful number, since it uses less digits than its factorization.

1374135568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1958 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 1374135568 is about 37069.3346042251. The cubic root of 1374135568 is about 1111.7569686093.

The spelling of 1374135568 in words is "one billion, three hundred seventy-four million, one hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 229 272 442 458 884 916 1697 1768 1832 2977 3394 3536 3664 3893 5954 6788 7786 11908 13576 15572 22061 23816 27152 28849 31144 44122 47632 50609 57698 62288 88244 101218 115396 176488 202436 230792 352976 375037 388613 404872 461584 750074 777226 809744 1500148 1554452 3000296 3108904 5051969 6000592 6217808 6606421 10103938 13212842 20207876 26425684 40415752 52851368 80831504 85883473 105702736 171766946 343533892 687067784 1374135568