Search a number
-
+
84751024128 = 2173239371
BaseRepresentation
bin100111011101110001…
…1100000000000000000
322002202110000002212120
41032323203200000000
52342032230233003
6102533432324240
76060131550621
oct1167343400000
9262673002776
1084751024128
1132a4081a901
1214512b43680
137cb851c1b4
14415db49a48
152310644853
hex13bb8e0000

84751024128 has 144 divisors (see below), whose sum is σ = 235853202816. Its totient is φ = 27019182080.

The previous prime is 84751024091. The next prime is 84751024129. The reversal of 84751024128 is 82142015748.

It is a self number, because there is not a number n which added to its sum of digits gives 84751024128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84751024129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9039283 + ... + 9048653.

It is an arithmetic number, because the mean of its divisors is an integer number (1637869464).

Almost surely, 284751024128 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 84751024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117926601408).

84751024128 is an abundant number, since it is smaller than the sum of its proper divisors (151102178688).

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

84751024128 is an frugal number, since it uses more digits than its factorization.

84751024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 84751024128 in words is "eighty-four billion, seven hundred fifty-one million, twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 8192 8832 9371 11776 12288 16384 17664 18742 23552 24576 28113 32768 35328 37484 47104 49152 56226 65536 70656 74968 94208 98304 112452 131072 141312 149936 188416 196608 215533 224904 282624 299872 376832 393216 431066 449808 565248 599744 646599 753664 862132 899616 1130496 1199488 1293198 1507328 1724264 1799232 2260992 2398976 2586396 3014656 3448528 3598464 4521984 4797952 5172792 6897056 7196928 9043968 9595904 10345584 13794112 14393856 19191808 20691168 27588224 28787712 38383616 41382336 55176448 57575424 76767232 82764672 110352896 115150848 153534464 165529344 220705792 230301696 307068928 331058688 441411584 460603392 614137856 662117376 882823168 921206784 1228275712 1324234752 1765646336 1842413568 2648469504 3531292672 3684827136 5296939008 7062585344 10593878016 14125170688 21187756032 28250341376 42375512064 84751024128