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668572416 = 2832439661
BaseRepresentation
bin100111110110011…
…001101100000000
31201121000222221100
4213312121230000
52332123304131
6150201454400
722365525501
oct4766315400
91647028840
10668572416
11313434396
12167aa1400
13a86876a5
1464b16ba8
153da657e6
hex27d99b00

668572416 has 108 divisors (see below), whose sum is σ = 1934973040. Its totient is φ = 222013440.

The previous prime is 668572357. The next prime is 668572417. The reversal of 668572416 is 614275866.

668572416 is a `hidden beast` number, since 6 + 68 + 572 + 4 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (668572417) 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, 1011126 + ... + 1011786.

Almost surely, 2668572416 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 668572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967486520).

668572416 is an abundant number, since it is smaller than the sum of its proper divisors (1266400624).

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

668572416 is a wasteful number, since it uses less digits than its factorization.

668572416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1105 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 668572416 is about 25856.7673153471. The cubic root of 668572416 is about 874.4120855028.

The spelling of 668572416 in words is "six hundred sixty-eight million, five hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 439 576 661 768 878 1152 1317 1322 1756 1983 2304 2634 2644 3512 3951 3966 5268 5288 5949 7024 7902 7932 10536 10576 11898 14048 15804 15864 21072 21152 23796 28096 31608 31728 42144 42304 47592 56192 63216 63456 84288 84608 95184 112384 126432 126912 168576 169216 190368 252864 253824 290179 337152 380736 505728 507648 580358 761472 870537 1011456 1160716 1522944 1741074 2321432 2611611 3482148 4642864 5223222 6964296 9285728 10446444 13928592 18571456 20892888 27857184 37142912 41785776 55714368 74285824 83571552 111428736 167143104 222857472 334286208 668572416