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21912058168 = 237111315118121
BaseRepresentation
bin10100011010000011…
…110111100100111000
32002120002101212221221
4110122003313210320
5324333441330133
614022151241424
71404000264340
oct243203674470
962502355857
1021912058168
119324870690
1242b6379274
1320b2870ac0
1410bc20bd20
15883a5ba2d
hex51a0f7938

21912058168 has 128 divisors (see below), whose sum is σ = 55531607040. Its totient is φ = 7827840000.

The previous prime is 21912058151. The next prime is 21912058219. The reversal of 21912058168 is 86185021912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200148 + ... + 1218268.

It is an arithmetic number, because the mean of its divisors is an integer number (433840680).

Almost surely, 221912058168 is an apocalyptic number.

21912058168 is a gapful number since it is divisible by the number (28) 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 21912058168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27765803520).

21912058168 is an abundant number, since it is smaller than the sum of its proper divisors (33619548872).

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

21912058168 is a wasteful number, since it uses less digits than its factorization.

21912058168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18309 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 21912058168 in words is "twenty-one billion, nine hundred twelve million, fifty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 151 154 182 286 302 308 364 572 604 616 728 1001 1057 1144 1208 1661 1963 2002 2114 3322 3926 4004 4228 6644 7852 8008 8456 11627 13288 13741 15704 18121 21593 23254 27482 36242 43186 46508 54964 72484 86372 93016 109928 126847 144968 151151 172744 199331 235573 253694 302302 398662 471146 507388 604604 797324 942292 1014776 1209208 1395317 1594648 1649011 1884584 2591303 2736271 2790634 3298022 5182606 5472542 5581268 6596044 10365212 10945084 11162536 13192088 18139121 19153897 20730424 21890168 30098981 35571523 36278242 38307794 60197962 71143046 72556484 76615588 120395924 142286092 145112968 153231176 210692867 240791848 249000661 284572184 391286753 421385734 498001322 782573506 842771468 996002644 1565147012 1685542936 1992005288 2739007271 3130294024 5478014542 10956029084 21912058168