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6551311872 = 29371932069
BaseRepresentation
bin1100001100111110…
…10001011000000000
3121220120110010101110
412012133101120000
5101404113434442
63002025203320
7321230142420
oct60637213000
917816403343
106551311872
112862054636
12132a030540
13805378401
14462120480
1528523969c
hex1867d1600

6551311872 has 160 divisors (see below), whose sum is σ = 20996870400. Its totient is φ = 1773232128.

The previous prime is 6551311859. The next prime is 6551311901. The reversal of 6551311872 is 2781131556.

It is a super-3 number, since 3×65513118723 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6551311872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188254 + ... + 220322.

It is an arithmetic number, because the mean of its divisors is an integer number (131230440).

Almost surely, 26551311872 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 6551311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498435200).

6551311872 is an abundant number, since it is smaller than the sum of its proper divisors (14445558528).

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

6551311872 is a wasteful number, since it uses less digits than its factorization.

6551311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32116 (or 32100 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 6551311872 is about 80940.1746476989. The cubic root of 6551311872 is about 1871.1535365169.

The spelling of 6551311872 in words is "six billion, five hundred fifty-one million, three hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 32069 34048 51072 64138 68096 96207 102144 128276 192414 204288 224483 256552 384828 448966 513104 609311 673449 769656 897932 1026208 1218622 1346898 1539312 1795864 1827933 2052416 2437244 2693796 3078624 3591728 3655866 4104832 4265177 4874488 5387592 6157248 7183456 7311732 8209664 8530354 9748976 10775184 12314496 12795531 14366912 14623464 16419328 17060708 19497952 21550368 24628992 25591062 28733824 29246928 34121416 38995904 43100736 49257984 51182124 57467648 58493856 68242832 77991808 86201472 102364248 114935296 116987712 136485664 155983616 172402944 204728496 233975424 272971328 311967232 344805888 409456992 467950848 545942656 818913984 935901696 1091885312 1637827968 2183770624 3275655936 6551311872