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1630238668864 = 26132122772
BaseRepresentation
bin10111101110010001110…
…010111111100001000000
312202211221010200000110221
4113232101302333201000
5203202212044400424
63244531000232424
7225531556022341
oct27562162774100
95684833600427
101630238668864
11579420256a13
12223b4b76b714
13ba966894100
1458c927020c8
152c6161549e4
hex17b91cbf840

1630238668864 has 63 divisors (see below), whose sum is σ = 3503278779687. Its totient is φ = 752356560384.

The previous prime is 1630238668847. The next prime is 1630238668901. The reversal of 1630238668864 is 4688668320361.

The square root of 1630238668864 is 1276808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 970634803264 + 659603865600 = 985208^2 + 812160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132781894 + ... + 132794170.

Almost surely, 21630238668864 is an apocalyptic number.

1630238668864 is the 1276808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630238668864

1630238668864 is an abundant number, since it is smaller than the sum of its proper divisors (1873040110823).

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

1630238668864 is an frugal number, since it uses more digits than its factorization.

1630238668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24592 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 61.

The spelling of 1630238668864 in words is "one trillion, six hundred thirty billion, two hundred thirty-eight million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 12277 24554 49108 98216 159601 196432 319202 392864 638404 785728 1276808 2074813 2553616 4149626 5107232 8299252 10214464 16598504 33197008 66394016 132788032 150724729 301449458 602898916 1205797832 1959421477 2411595664 3918842954 4823191328 7837685908 9646382656 15675371816 25472479201 31350743632 50944958402 62701487264 101889916804 125402974528 203779833608 407559667216 815119334432 1630238668864