Search a number
-
+
5351665792 = 271137432389
BaseRepresentation
bin1001111101111101…
…11111000010000000
3111210222002210100011
410332332333002000
541430011301132
62243012434304
7246422260114
oct47676770200
914728083304
105351665792
1122a696a7a0
121054318994
13673979065
1438aa83744
15214c6db47
hex13efbf080

5351665792 has 128 divisors (see below), whose sum is σ = 12228004800. Its totient is φ = 2310819840.

The previous prime is 5351665789. The next prime is 5351665817. The reversal of 5351665792 is 2975661535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2238934 + ... + 2241322.

Almost surely, 25351665792 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 5351665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114002400).

5351665792 is an abundant number, since it is smaller than the sum of its proper divisors (6876339008).

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

5351665792 is a wasteful number, since it uses less digits than its factorization.

5351665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2482 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 49.

The square root of 5351665792 is about 73155.0804250805. The cubic root of 5351665792 is about 1749.1604998747.

The spelling of 5351665792 in words is "five billion, three hundred fifty-one million, six hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 37 43 44 64 74 86 88 128 148 172 176 296 344 352 407 473 592 688 704 814 946 1184 1376 1408 1591 1628 1892 2368 2389 2752 3182 3256 3784 4736 4778 5504 6364 6512 7568 9556 12728 13024 15136 17501 19112 25456 26048 26279 30272 35002 38224 50912 52096 52558 60544 70004 76448 88393 101824 102727 105116 140008 152896 176786 203648 205454 210232 280016 305792 353572 410908 420464 560032 707144 821816 840928 972323 1120064 1129997 1414288 1643632 1681856 1944646 2240128 2259994 2828576 3287264 3363712 3800899 3889292 4519988 5657152 6574528 7601798 7778584 9039976 11314304 13149056 15203596 15557168 18079952 30407192 31114336 36159904 41809889 60814384 62228672 72319808 83619778 121628768 124457344 144639616 167239556 243257536 334479112 486515072 668958224 1337916448 2675832896 5351665792