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661978656 = 25391051
BaseRepresentation
bin100111011101001…
…111111000100000
31201010122000000000
4213131033320200
52323431304111
6145404300000
722255503633
oct4735177040
91633560000
10661978656
1130a7403a9
12165841600
13a71b9361
1463cbbc1a
153d1b1c56
hex2774fe20

661978656 has 120 divisors (see below), whose sum is σ = 1956732624. Its totient is φ = 220449600.

The previous prime is 661978651. The next prime is 661978699. The reversal of 661978656 is 656879166.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (661978651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629331 + ... + 630381.

Almost surely, 2661978656 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 661978656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978366312).

661978656 is an abundant number, since it is smaller than the sum of its proper divisors (1294753968).

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

661978656 is an frugal number, since it uses more digits than its factorization.

661978656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1056 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 661978656 is about 25728.9458781350. The cubic root of 661978656 is about 871.5279688619.

The spelling of 661978656 in words is "six hundred sixty-one million, nine hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1051 1296 1458 1944 2102 2187 2592 2916 3153 3888 4204 4374 5832 6306 6561 7776 8408 8748 9459 11664 12612 13122 16816 17496 18918 19683 23328 25224 26244 28377 33632 34992 37836 39366 50448 52488 56754 69984 75672 78732 85131 100896 104976 113508 151344 157464 170262 209952 227016 255393 302688 314928 340524 454032 510786 629856 681048 766179 908064 1021572 1362096 1532358 2043144 2298537 2724192 3064716 4086288 4597074 6129432 6895611 8172576 9194148 12258864 13791222 18388296 20686833 24517728 27582444 36776592 41373666 55164888 73553184 82747332 110329776 165494664 220659552 330989328 661978656