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21255552146312 = 23112353609132531
BaseRepresentation
bin1001101010100111100011…
…01000101001101110001000
32210021000021222100001011122
410311103301220221232020
510241222332322140222
6113112355454014412
74322443253126111
oct465236150515610
983230258301148
1021255552146312
11685547a067950
1224735754a7408
13bb250b9ac423
14536aba625208
1526cd8ba86a42
hex1354f1a29b88

21255552146312 has 128 divisors (see below), whose sum is σ = 46232583736320. Its totient is φ = 9065408352000.

The previous prime is 21255552146273. The next prime is 21255552146327. The reversal of 21255552146312 is 21364125555212.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653377487 + ... + 653410017.

It is an arithmetic number, because the mean of its divisors is an integer number (361192060440).

Almost surely, 221255552146312 is an apocalyptic number.

21255552146312 is a gapful number since it is divisible by the number (22) 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 21255552146312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23116291868160).

21255552146312 is an abundant number, since it is smaller than the sum of its proper divisors (24977031590008).

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

21255552146312 is a wasteful number, since it uses less digits than its factorization.

21255552146312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38715 (or 38711 counting only the distinct ones).

The product of its digits is 720000, while the sum is 44.

The spelling of 21255552146312 in words is "twenty-one trillion, two hundred fifty-five billion, five hundred fifty-two million, one hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 53 88 92 106 184 212 253 424 506 583 1012 1166 1219 2024 2332 2438 4664 4876 6091 9752 12182 13409 24364 26818 32531 48728 53636 65062 67001 107272 130124 134002 140093 260248 268004 280186 322823 357841 536008 560372 645646 715682 748213 1120744 1291292 1431364 1496426 1541023 1724143 2582584 2862728 2992852 3082046 3448286 3551053 5985704 6164092 6896572 7102106 7424929 8230343 12328184 13793144 14204212 14849858 16460686 18965573 28408424 29699716 32921372 37931146 39655289 59399432 65842744 75862292 79310578 81674219 151724584 158621156 163348438 198146321 317242312 326696876 396292642 436208179 653393752 792585284 872416358 1585170568 1744832716 2179609531 3489665432 4359219062 4557365383 8718438124 9114730766 10501755013 17436876248 18229461532 21003510026 36458923064 42007020052 50131019213 84014040104 100262038426 115519305143 200524076852 231038610286 241540365299 401048153704 462077220572 483080730598 924154441144 966161461196 1932322922392 2656944018289 5313888036578 10627776073156 21255552146312