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2053255413504 = 28313727976977
BaseRepresentation
bin11101111000001111100…
…011110011111100000000
321021021210220022011101110
4131320033203303330000
5232120031341213004
64211130313203320
7301225404023211
oct35701743637400
97237726264343
102053255413504
11721865175219
12291b27100540
1311b80c8a5079
14715416b1408
1538623569589
hex1de0f8f3f00

2053255413504 has 144 divisors (see below), whose sum is σ = 5507298967968. Its totient is φ = 679082459136.

The previous prime is 2053255413481. The next prime is 2053255413511. The reversal of 2053255413504 is 4053145523502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294285664 + ... + 294292640.

It is an arithmetic number, because the mean of its divisors is an integer number (38245131722).

Almost surely, 22053255413504 is an apocalyptic number.

2053255413504 is a gapful number since it is divisible by the number (24) 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 2053255413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753649483984).

2053255413504 is an abundant number, since it is smaller than the sum of its proper divisors (3454043554464).

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

2053255413504 is a wasteful number, since it uses less digits than its factorization.

2053255413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 2053255413504 in words is "two trillion, fifty-three billion, two hundred fifty-five million, four hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 548 768 822 1096 1644 2192 2797 3288 4384 5594 6576 6977 8391 8768 11188 13152 13954 16782 17536 20931 22376 26304 27908 33564 35072 41862 44752 52608 55816 67128 83724 89504 105216 111632 134256 167448 179008 223264 268512 334896 358016 383189 446528 537024 669792 716032 766378 893056 955849 1074048 1149567 1339584 1532756 1786112 1911698 2148096 2299134 2679168 2867547 3065512 3823396 4598268 5358336 5735094 6131024 7646792 9196536 11470188 12262048 15293584 18393072 19514669 22940376 24524096 30587168 36786144 39029338 45880752 49048192 58544007 61174336 73572288 78058676 91761504 98096384 117088014 122348672 147144576 156117352 183523008 234176028 244697344 294289152 312234704 367046016 468352056 624469408 734092032 936704112 1248938816 1873408224 2497877632 2673509653 3746816448 4995755264 5347019306 7493632896 8020528959 10694038612 14987265792 16041057918 21388077224 32082115836 42776154448 64164231672 85552308896 128328463344 171104617792 256656926688 342209235584 513313853376 684418471168 1026627706752 2053255413504