Search a number
-
+
68971365376 = 2102922832
BaseRepresentation
bin100000000111100000…
…0111000010000000000
320121000201210101102221
41000033000320100000
52112223132143001
651403543420424
74661113634614
oct1001700702000
9217021711387
1068971365376
11272835a0711
121144a454714
1366722c2b04
1434a4173344
151bda1751a1
hex100f038400

68971365376 has 99 divisors (see below), whose sum is σ = 143299995501. Its totient is φ = 33178865664.

The previous prime is 68971365371. The next prime is 68971365413. The reversal of 68971365376 is 67356317986.

The square root of 68971365376 is 262624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36166910976 + 32804454400 = 190176^2 + 181120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68971365371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 243714931 + ... + 243715213.

Almost surely, 268971365376 is an apocalyptic number.

68971365376 is the 262624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68971365376

68971365376 is an abundant number, since it is smaller than the sum of its proper divisors (74328630125).

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

68971365376 is an frugal number, since it uses more digits than its factorization.

68971365376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 314 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 61.

The spelling of 68971365376 in words is "sixty-eight billion, nine hundred seventy-one million, three hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 283 464 512 566 841 928 1024 1132 1682 1856 2264 3364 3712 4528 6728 7424 8207 9056 13456 14848 16414 18112 26912 29696 32828 36224 53824 65656 72448 80089 107648 131312 144896 160178 215296 238003 262624 289792 320356 430592 476006 525248 640712 861184 952012 1050496 1281424 1904024 2100992 2322581 2562848 3808048 4201984 4645162 5125696 7616096 8403968 9290324 10251392 15232192 18580648 20502784 30464384 37161296 41005568 60928768 67354849 74322592 82011136 121857536 134709698 148645184 243715072 269419396 297290368 538838792 594580736 1077677584 1189161472 2155355168 2378322944 4310710336 8621420672 17242841344 34485682688 68971365376