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93319900416 = 28351500127
BaseRepresentation
bin101011011101001001…
…1001010110100000000
322220212121212010100000
41112322103022310000
53012104343303131
6110512013200000
76512361031341
oct1267223126400
9286777763300
1093319900416
1136638718446
1216104790000
138a528815b2
144733bb80c8
152662a60ce6
hex15ba4cad00

93319900416 has 108 divisors (see below), whose sum is σ = 279029808512. Its totient is φ = 31106612736.

The previous prime is 93319900411. The next prime is 93319900447. The reversal of 93319900416 is 61400991339.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93319900411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687856 + ... + 812271.

Almost surely, 293319900416 is an apocalyptic number.

93319900416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93319900416 is an abundant number, since it is smaller than the sum of its proper divisors (185709908096).

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

93319900416 is an equidigital number, since it uses as much as digits as its factorization.

93319900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500158 (or 1500132 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 93319900416 in words is "ninety-three billion, three hundred nineteen million, nine hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 1500127 3000254 4500381 6000508 9000762 12001016 13501143 18001524 24002032 27002286 36003048 40503429 48004064 54004572 72006096 81006858 96008128 108009144 121510287 144012192 162013716 192016256 216018288 243020574 288024384 324027432 364530861 384032512 432036576 486041148 576048768 648054864 729061722 864073152 972082296 1152097536 1296109728 1458123444 1728146304 1944164592 2592219456 2916246888 3456292608 3888329184 5184438912 5832493776 7776658368 10368877824 11664987552 15553316736 23329975104 31106633472 46659950208 93319900416