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91413103716 = 22361125092
BaseRepresentation
bin101010100100010100…
…1010100010001100100
322201221201212211000000
41111020221110101210
52444203223304331
6105554500021300
76414205363314
oct1251051242144
9281851784000
1091413103716
113584a34a900
1215872091830
13880a80b21c
1445d2861444
1525a045e0e6
hex1548a54464

91413103716 has 189 divisors, whose sum is σ = 264155388553. Its totient is φ = 27646518240.

The previous prime is 91413103697. The next prime is 91413103763. The reversal of 91413103716 is 61730131419.

The square root of 91413103716 is 302346.

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., 74335841316 + 17077262400 = 272646^2 + 130680^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 179593270 + ... + 179593778.

Almost surely, 291413103716 is an apocalyptic number.

91413103716 is the 302346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91413103716

91413103716 is an abundant number, since it is smaller than the sum of its proper divisors (172742284837).

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

91413103716 is an equidigital number, since it uses as much as digits as its factorization.

91413103716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 91413103716 by its sum of digits (36), we get a square (3290871733776 = 18140762).

91413103716 divided by its sum of digits (36) gives a square (2539252881 = 503912).

The spelling of 91413103716 in words is "ninety-one billion, four hundred thirteen million, one hundred three thousand, seven hundred sixteen".