Search a number
-
+
56733507216 = 24331931222967
BaseRepresentation
bin110100110101100101…
…001001111010010000
312102102212002210001000
4310311211021322100
51412142234212331
642021335542000
74045623566061
oct646545117220
9172385083030
1056733507216
1122073649751
12abb3b2a900
135471aaa319
142a62b1a568
151720abd0e6
hexd35949e90

56733507216 has 160 divisors (see below), whose sum is σ = 176947404800. Its totient is φ = 17337836160.

The previous prime is 56733507211. The next prime is 56733507223. The reversal of 56733507216 is 61270533765.

56733507216 is a `hidden beast` number, since 56 + 73 + 3 + 507 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (56733507211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142965 + ... + 365931.

It is an arithmetic number, because the mean of its divisors is an integer number (1105921280).

Almost surely, 256733507216 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 56733507216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88473702400).

56733507216 is an abundant number, since it is smaller than the sum of its proper divisors (120213897584).

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

56733507216 is a wasteful number, since it uses less digits than its factorization.

56733507216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223034 (or 223022 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 56733507216 in words is "fifty-six billion, seven hundred thirty-three million, five hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 228 248 279 304 342 372 432 456 496 513 558 589 684 744 837 912 1026 1116 1178 1368 1488 1674 1767 2052 2232 2356 2736 3348 3534 4104 4464 4712 5301 6696 7068 8208 9424 10602 13392 14136 15903 21204 28272 31806 42408 63612 84816 127224 222967 254448 445934 668901 891868 1337802 1783736 2006703 2675604 3567472 4013406 4236373 5351208 6020109 6911977 8026812 8472746 10702416 12040218 12709119 13823954 16053624 16945492 20735931 24080436 25418238 27647908 32107248 33890984 38127357 41471862 48160872 50836476 55295816 62207793 67781968 76254714 82943724 96321744 101672952 110591632 114382071 124415586 131327563 152509428 165887448 186623379 203345904 228764142 248831172 262655126 305018856 331774896 373246758 393982689 457528284 497662344 525310252 610037712 746493516 787965378 915056568 995324688 1050620504 1181948067 1492987032 1575930756 1830113136 2101241008 2363896134 2985974064 3151861512 3545844201 4727792268 6303723024 7091688402 9455584536 14183376804 18911169072 28366753608 56733507216