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1644964656 = 243314347547
BaseRepresentation
bin110001000001100…
…0010101100110000
311020122021212021220
41202003002230300
511332102332111
6431121145040
755522653216
oct14203025460
94218255256
101644964656
117745a3325
1239aa8b180
13202a4a28a
1411867acb6
1599631e06
hex620c2b30

1644964656 has 160 divisors (see below), whose sum is σ = 4592467968. Its totient is φ = 506338560.

The previous prime is 1644964603. The next prime is 1644964681. The reversal of 1644964656 is 6564694461.

It is a junction number, because it is equal to n+sod(n) for n = 1644964599 and 1644964608.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3006975 + ... + 3007521.

Almost surely, 21644964656 is an apocalyptic number.

1644964656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1644964656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296233984).

1644964656 is an abundant number, since it is smaller than the sum of its proper divisors (2947503312).

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

1644964656 is a wasteful number, since it uses less digits than its factorization.

1644964656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 1644964656 is about 40558.1638637648. The cubic root of 1644964656 is about 1180.4624865262.

The spelling of 1644964656 in words is "one billion, six hundred forty-four million, nine hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 47 48 62 86 93 94 124 129 141 172 186 188 248 258 282 344 372 376 496 516 547 564 688 744 752 1032 1094 1128 1333 1457 1488 1641 2021 2064 2188 2256 2666 2914 3282 3999 4042 4371 4376 5332 5828 6063 6564 7998 8084 8742 8752 10664 11656 12126 13128 15996 16168 16957 17484 21328 23312 23521 24252 25709 26256 31992 32336 33914 34968 47042 48504 50871 51418 62651 63984 67828 69936 70563 77127 94084 97008 101742 102836 125302 135656 141126 154254 187953 188168 203484 205672 250604 271312 282252 308508 375906 376336 406968 411344 501208 564504 617016 729151 751812 796979 813936 1002416 1105487 1129008 1234032 1458302 1503624 1593958 2187453 2210974 2390937 2916604 3007248 3187916 3316461 4374906 4421948 4781874 5833208 6375832 6632922 8749812 8843896 9563748 11666416 12751664 13265844 17499624 17687792 19127496 26531688 34270097 34999248 38254992 53063376 68540194 102810291 137080388 205620582 274160776 411241164 548321552 822482328 1644964656