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2554660656 = 2432197113151
BaseRepresentation
bin1001100001000101…
…0000011100110000
320121001001012121100
42120101100130300
520212443120111
61101255124400
7120210154152
oct23021203460
96531035540
102554660656
1110a10483a9
125b3673700
1331935a032
141a33dcad2
15ee426756
hex98450730

2554660656 has 120 divisors (see below), whose sum is σ = 7632368640. Its totient is φ = 795312000.

The previous prime is 2554660651. The next prime is 2554660657. The reversal of 2554660656 is 6560664552.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2554660651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187681 + ... + 200831.

It is an arithmetic number, because the mean of its divisors is an integer number (63603072).

Almost surely, 22554660656 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 2554660656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816184320).

2554660656 is an abundant number, since it is smaller than the sum of its proper divisors (5077707984).

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

2554660656 is a wasteful number, since it uses less digits than its factorization.

2554660656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 2554660656 is about 50543.6509959461. The cubic root of 2554660656 is about 1367.0290381014.

The spelling of 2554660656 in words is "two billion, five hundred fifty-four million, six hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 71 72 76 114 142 144 152 171 213 228 284 304 342 426 456 568 639 684 852 912 1136 1278 1349 1368 1704 2556 2698 2736 3408 4047 5112 5396 8094 10224 10792 12141 13151 16188 21584 24282 26302 32376 39453 48564 52604 64752 78906 97128 105208 118359 157812 194256 210416 236718 249869 315624 473436 499738 631248 749607 933721 946872 999476 1499214 1867442 1893744 1998952 2248821 2801163 2998428 3734884 3997904 4497642 5602326 5996856 7469768 8403489 8995284 11204652 11993712 14939536 16806978 17740699 17990568 22409304 33613956 35481398 35981136 44818608 53222097 67227912 70962796 106444194 134455824 141925592 159666291 212888388 283851184 319332582 425776776 638665164 851553552 1277330328 2554660656