Search a number
-
+
7696447968 = 253112798387
BaseRepresentation
bin1110010101011111…
…00111100111100000
3201212101020001210110
413022233213213200
5111230242313333
63311413331320
7361503504546
oct71257474740
921771201713
107696447968
11329a498300
1215a9636b40
139586a0631
1453024bd96
15300a39063
hex1cabe79e0

7696447968 has 144 divisors (see below), whose sum is σ = 22490576640. Its totient is φ = 2302460160.

The previous prime is 7696447943. The next prime is 7696447991. The reversal of 7696447968 is 8697446967.

It is a happy number.

It is a super-2 number, since 2×76964479682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7696447899 and 7696447908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913471 + ... + 921857.

It is an arithmetic number, because the mean of its divisors is an integer number (156184560).

Almost surely, 27696447968 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 7696447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245288320).

7696447968 is an abundant number, since it is smaller than the sum of its proper divisors (14794128672).

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

7696447968 is a wasteful number, since it uses less digits than its factorization.

7696447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501 (or 8482 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 66.

The square root of 7696447968 is about 87729.4019585224. The cubic root of 7696447968 is about 1974.3771335417.

The spelling of 7696447968 in words is "seven billion, six hundred ninety-six million, four hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 79 88 96 121 132 158 176 237 242 264 316 352 363 474 484 528 632 726 869 948 968 1056 1264 1452 1738 1896 1936 2528 2607 2904 3476 3792 3872 5214 5808 6952 7584 8387 9559 10428 11616 13904 16774 19118 20856 25161 27808 28677 33548 38236 41712 50322 57354 67096 76472 83424 92257 100644 114708 134192 152944 184514 201288 229416 268384 276771 305888 369028 402576 458832 553542 662573 738056 805152 917664 1014827 1107084 1325146 1476112 1987719 2029654 2214168 2650292 2952224 3044481 3975438 4059308 4428336 5300584 6088962 7288303 7950876 8118616 8856672 10601168 12177924 14576606 15901752 16237232 21202336 21864909 24355848 29153212 31803504 32474464 43729818 48711696 58306424 63607008 80171333 87459636 97423392 116612848 160342666 174919272 233225696 240513999 320685332 349838544 481027998 641370664 699677088 962055996 1282741328 1924111992 2565482656 3848223984 7696447968