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91855348380 = 223351910938191
BaseRepresentation
bin101010110001100000…
…0010110001010011100
322210002120001011122000
41111203000112022130
53001104432122010
6110110414522300
76431155402335
oct1254300261234
9283076034560
1091855348380
1135a56a49864
1215976206390
13887b320c63
1446354a128c
1525c91b97c0
hex156301629c

91855348380 has 192 divisors, whose sum is σ = 301124812800. Its totient is φ = 23181500160.

The previous prime is 91855348369. The next prime is 91855348411. The reversal of 91855348380 is 8384355819.

91855348380 is a `hidden beast` number, since 9 + 1 + 8 + 553 + 4 + 8 + 3 + 80 = 666.

It is a super-2 number, since 2×918553483802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11210085 + ... + 11218275.

It is an arithmetic number, because the mean of its divisors is an integer number (1568358400).

Almost surely, 291855348380 is an apocalyptic number.

91855348380 is a gapful number since it is divisible by the number (90) 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 91855348380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150562406400).

91855348380 is an abundant number, since it is smaller than the sum of its proper divisors (209269464420).

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

91855348380 is a wasteful number, since it uses less digits than its factorization.

91855348380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 91855348380 in words is "ninety-one billion, eight hundred fifty-five million, three hundred forty-eight thousand, three hundred eighty".