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91810212004 = 22722329412
BaseRepresentation
bin101010110000001010…
…0001010100010100100
322202222102010000011101
41111200110022202210
53001011403241004
6110102123245444
76430066632400
oct1254024124244
9282872100141
1091810212004
1135a33520175
1215963079884
138871b79544
14462d4b2100
1525c5250ba4
hex156050a8a4

91810212004 has 81 divisors (see below), whose sum is σ = 195586575681. Its totient is φ = 37596488160.

The previous prime is 91810211989. The next prime is 91810212029. The reversal of 91810212004 is 40021201819.

The square root of 91810212004 is 303002.

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

It can be written as a sum of positive squares in only one way, i.e., 56930914404 + 34879297600 = 238602^2 + 186760^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 97566174 + ... + 97567114.

Almost surely, 291810212004 is an apocalyptic number.

91810212004 is the 303002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91810212004

91810212004 is an abundant number, since it is smaller than the sum of its proper divisors (103776363677).

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

91810212004 is an equidigital number, since it uses as much as digits as its factorization.

91810212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 91810212004 in words is "ninety-one billion, eight hundred ten million, two hundred twelve thousand, four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 941 1058 1127 1882 2116 2254 3703 3764 4508 6587 7406 13174 14812 21643 25921 26348 43286 46109 51842 86572 92218 103684 151501 184436 303002 497789 606004 885481 995578 1060507 1770962 1991156 2121014 3484523 3541924 4242028 6198367 6969046 12396734 13938092 20366063 24391661 24793468 40732126 43388569 48783322 81464252 86777138 97566644 142562441 173554276 285124882 468419449 570249764 936838898 997937087 1873677796 1995874174 3278936143 3991748348 6557872286 13115744572 22952553001 45905106002 91810212004