Search a number
-
+
91322422416 = 2432251832
BaseRepresentation
bin101010100001100111…
…1011001010010010000
322201201102020201122100
41111003033121102100
52444012020004131
6105541500240400
76412024532331
oct1250317312220
9281642221570
1091322422416
1135803143685
1215847840100
1387c4aab154
1445c47b8288
1525974ea7e6
hex15433d9490

91322422416 has 45 divisors (see below), whose sum is σ = 255586095219. Its totient is φ = 30439598688.

The previous prime is 91322422403. The next prime is 91322422441. The reversal of 91322422416 is 61422422319.

It is a happy number.

The square root of 91322422416 is 302196.

It is a perfect power (a square), and thus also a powerful number.

91322422416 is a `hidden beast` number, since 9 + 13 + 224 + 2 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3613761 + ... + 3638943.

Almost surely, 291322422416 is an apocalyptic number.

91322422416 is the 302196-th square number.

It is an amenable number.

91322422416 is an abundant number, since it is smaller than the sum of its proper divisors (164263672803).

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

91322422416 is an frugal number, since it uses more digits than its factorization.

91322422416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50380 (or 25188 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Multiplying 91322422416 by its sum of digits (36), we get a square (3287607206976 = 18131762).

91322422416 divided by its sum of digits (36) gives a square (2536733956 = 503662).

The spelling of 91322422416 in words is "ninety-one billion, three hundred twenty-two million, four hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 25183 50366 75549 100732 151098 201464 226647 302196 402928 453294 604392 906588 1208784 1813176 3626352 634183489 1268366978 1902550467 2536733956 3805100934 5073467912 5707651401 7610201868 10146935824 11415302802 15220403736 22830605604 30440807472 45661211208 91322422416