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668628096 = 2733135563
BaseRepresentation
bin100111110110100…
…111010010000000
31201121010211022120
4213312213102000
52332132044341
6150203004240
722366150023
oct4766472200
91647124276
10668628096
11313472204
12167b09680
13a86a6b36
1464b2d1ba
153da77066
hex27da7480

668628096 has 64 divisors (see below), whose sum is σ = 1782037920. Its totient is φ = 222124032.

The previous prime is 668628091. The next prime is 668628109. The reversal of 668628096 is 690826866.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (668628091) 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, 117411 + ... + 122973.

Almost surely, 2668628096 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 668628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891018960).

668628096 is an abundant number, since it is smaller than the sum of its proper divisors (1113409824).

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

668628096 is a wasteful number, since it uses less digits than its factorization.

668628096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 668628096 is about 25857.8439936511. The cubic root of 668628096 is about 874.4363590704.

The spelling of 668628096 in words is "six hundred sixty-eight million, six hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 313 384 626 939 1252 1878 2504 3756 5008 5563 7512 10016 11126 15024 16689 20032 22252 30048 33378 40064 44504 60096 66756 89008 120192 133512 178016 267024 356032 534048 712064 1068096 1741219 2136192 3482438 5223657 6964876 10447314 13929752 20894628 27859504 41789256 55719008 83578512 111438016 167157024 222876032 334314048 668628096