Search a number
-
+
91497319776 = 25321375214451
BaseRepresentation
bin101010100110110101…
…0100100110101100000
322202011121100102201100
41111031222210311200
52444341303213101
6110011105034400
76416250246222
oct1251552446540
9282147312640
1091497319776
1135892940655
1215896325a00
1388220b6605
1445ddb04412
1525a7a46e86
hex154daa4d60

91497319776 has 144 divisors (see below), whose sum is σ = 262656798768. Its totient is φ = 30211584000.

The previous prime is 91497319763. The next prime is 91497319787. The reversal of 91497319776 is 67791379419.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20554351 + ... + 20558801.

It is an arithmetic number, because the mean of its divisors is an integer number (1824005547).

Almost surely, 291497319776 is an apocalyptic number.

91497319776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91497319776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328399384).

91497319776 is an abundant number, since it is smaller than the sum of its proper divisors (171159478992).

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

91497319776 is a wasteful number, since it uses less digits than its factorization.

91497319776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5114 counting only the distinct ones).

The product of its digits is 18003384, while the sum is 63.

The spelling of 91497319776 in words is "ninety-one billion, four hundred ninety-seven million, three hundred nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 521 548 822 1042 1096 1233 1563 1644 2084 2192 2466 3126 3288 4168 4384 4451 4689 4932 6252 6576 8336 8902 9378 9864 12504 13152 13353 16672 17804 18756 19728 25008 26706 35608 37512 39456 40059 50016 53412 71216 71377 75024 80118 106824 142432 142754 150048 160236 213648 214131 285508 320472 427296 428262 571016 609787 640944 642393 856524 1142032 1219574 1281888 1284786 1713048 1829361 2284064 2318971 2439148 2569572 3426096 3658722 4637942 4878296 5139144 5488083 6852192 6956913 7317444 9275884 9756592 10278288 10976166 13913826 14634888 18551768 19513184 20556576 20870739 21952332 27827652 29269776 37103536 41741478 43904664 55655304 58539552 74207072 83482956 87809328 111310608 166965912 175618656 222621216 317699027 333931824 635398054 667863648 953097081 1270796108 1906194162 2541592216 2859291243 3812388324 5083184432 5718582486 7624776648 10166368864 11437164972 15249553296 22874329944 30499106592 45748659888 91497319776