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56336497280 = 275714998389
BaseRepresentation
bin110100011101111010…
…101011101010000000
312101102012001120210022
4310131322223222000
51410334120403110
641514114353012
74033033216520
oct643572535200
9171365046708
1056336497280
112198a536268
12ab02b8b768
13540a7749bb
142a260d3680
1516eacea755
hexd1deaba80

56336497280 has 128 divisors (see below), whose sum is σ = 154040400000. Its totient is φ = 19300184064.

The previous prime is 56336497277. The next prime is 56336497337. The reversal of 56336497280 is 8279463365.

It is a happy number.

56336497280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6711326 + ... + 6719714.

It is an arithmetic number, because the mean of its divisors is an integer number (1203440625).

Almost surely, 256336497280 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 56336497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77020200000).

56336497280 is an abundant number, since it is smaller than the sum of its proper divisors (97703902720).

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

56336497280 is a wasteful number, since it uses less digits than its factorization.

56336497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 56336497280 in words is "fifty-six billion, three hundred thirty-six million, four hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1499 2240 2998 4480 5996 7495 8389 10493 11992 14990 16778 20986 23984 29980 33556 41945 41972 47968 52465 58723 59960 67112 83890 83944 95936 104930 117446 119920 134224 167780 167888 191872 209860 234892 239840 268448 293615 335560 335776 419720 469784 479680 536896 587230 671120 671552 839440 939568 959360 1073792 1174460 1342240 1343104 1678880 1879136 2348920 2684480 3357760 3758272 4697840 5368960 6715520 7516544 9395680 12575111 18791360 25150222 37582720 50300444 62875555 88025777 100600888 125751110 176051554 201201776 251502220 352103108 402403552 440128885 503004440 704206216 804807104 880257770 1006008880 1408412432 1609614208 1760515540 2012017760 2816824864 3521031080 4024035520 5633649728 7042062160 8048071040 11267299456 14084124320 28168248640 56336497280