Search a number
-
+
97888827904 = 297731372731
BaseRepresentation
bin101101100101010100…
…0001111101000000000
3100100200001002200120121
41123022220033220000
53100434014443104
6112545225150024
710033530210550
oct1331250175000
9310601080517
1097888827904
113857276727a
1216b7a92b314
13930030c69a
144a48907160
15282dc17254
hex16caa0fa00

97888827904 has 160 divisors (see below), whose sum is σ = 228326921856. Its totient is φ = 41060597760.

The previous prime is 97888827853. The next prime is 97888827923. The reversal of 97888827904 is 40972888879.

It is a happy number.

It is a super-3 number, since 3×978888279043 (a number of 34 digits) contains 333 as substring.

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, 35842219 + ... + 35844949.

Almost surely, 297888827904 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 97888827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114163460928).

97888827904 is an abundant number, since it is smaller than the sum of its proper divisors (130438093952).

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

97888827904 is a wasteful number, since it uses less digits than its factorization.

97888827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 70.

The spelling of 97888827904 in words is "ninety-seven billion, eight hundred eighty-eight million, eight hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 137 146 224 256 274 292 448 511 512 548 584 896 959 1022 1096 1168 1792 1918 2044 2192 2336 2731 3584 3836 4088 4384 4672 5462 7672 8176 8768 9344 10001 10924 15344 16352 17536 18688 19117 20002 21848 30688 32704 35072 37376 38234 40004 43696 61376 65408 70007 70144 76468 80008 87392 122752 130816 140014 152936 160016 174784 199363 245504 261632 280028 305872 320032 349568 374147 398726 491008 560056 611744 640064 699136 748294 797452 1120112 1223488 1280128 1395541 1398272 1496588 1594904 2240224 2446976 2560256 2619029 2791082 2993176 3189808 4480448 4893952 5120512 5238058 5582164 5986352 6379616 8960896 9787904 10476116 11164328 11972704 12759232 17921792 20952232 22328656 23945408 25518464 27312731 35843584 41904464 44657312 47890816 51036928 54625462 83808928 89314624 95781632 102073856 109250924 167617856 178629248 191189117 191563264 218501848 335235712 357258496 382378234 437003696 670471424 714516992 764756468 874007392 1340942848 1529512936 1748014784 3059025872 3496029568 6118051744 6992059136 12236103488 13984118272 24472206976 48944413952 97888827904