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93419190016 = 2815712371879
BaseRepresentation
bin101011100000000110…
…1111011011100000000
322221010112200120001121
41113000031323130000
53012310303040031
6110525521242024
76515005004365
oct1270015733400
9287115616047
1093419190016
1136689774169
1216131a93314
138a6a306939
14474306246c
15266b625011
hex15c037b700

93419190016 has 72 divisors (see below), whose sum is σ = 187912850720. Its totient is φ = 46349881344.

The previous prime is 93419190013. The next prime is 93419190017. The reversal of 93419190016 is 61009191439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93419190013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49716565 + ... + 49718443.

Almost surely, 293419190016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93419190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93956425360).

93419190016 is an abundant number, since it is smaller than the sum of its proper divisors (94493660704).

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

93419190016 is a wasteful number, since it uses less digits than its factorization.

93419190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

The spelling of 93419190016 in words is "ninety-three billion, four hundred nineteen million, one hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 628 1237 1256 1879 2474 2512 3758 4948 5024 7516 9896 10048 15032 19792 20096 30064 39584 40192 60128 79168 120256 158336 194209 240512 295003 316672 388418 481024 590006 776836 1180012 1553672 2324323 2360024 3107344 4648646 4720048 6214688 9297292 9440096 12429376 18594584 18880192 24858752 37189168 37760384 49717504 74378336 75520768 148756672 297513344 364918711 595026688 729837422 1459674844 2919349688 5838699376 11677398752 23354797504 46709595008 93419190016