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668474112 = 2831961751
BaseRepresentation
bin100111110110000…
…001101100000000
31201120212000002110
4213312001230000
52332112132422
6150155415320
722364636055
oct4766015400
91646760073
10668474112
11313377549
12167a54540
13a8651a17
1464acd02c
153da4660c
hex27d81b00

668474112 has 144 divisors (see below), whose sum is σ = 1905989120. Its totient is φ = 207360000.

The previous prime is 668474083. The next prime is 668474117. The reversal of 668474112 is 211474866.

It is not an unprimeable number, because it can be changed into a prime (668474117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889737 + ... + 890487.

Almost surely, 2668474112 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 668474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952994560).

668474112 is an abundant number, since it is smaller than the sum of its proper divisors (1237515008).

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

668474112 is a wasteful number, since it uses less digits than its factorization.

668474112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 668474112 is about 25854.8663117797. The cubic root of 668474112 is about 874.3692268102.

The spelling of 668474112 in words is "six hundred sixty-eight million, four hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 256 304 366 384 456 488 608 732 751 768 912 976 1159 1216 1464 1502 1824 1952 2253 2318 2432 2928 3004 3477 3648 3904 4506 4636 4864 5856 6008 6954 7296 7808 9012 9272 11712 12016 13908 14269 14592 15616 18024 18544 23424 24032 27816 28538 36048 37088 42807 45811 46848 48064 55632 57076 72096 74176 85614 91622 96128 111264 114152 137433 144192 148352 171228 183244 192256 222528 228304 274866 288384 296704 342456 366488 445056 456608 549732 576768 684912 732976 870409 890112 913216 1099464 1369824 1465952 1740818 1826432 2198928 2611227 2739648 2931904 3481636 3652864 4397856 5222454 5479296 5863808 6963272 8795712 10444908 10958592 11727616 13926544 17591424 20889816 27853088 35182848 41779632 55706176 83559264 111412352 167118528 222824704 334237056 668474112