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21719095092 = 22321943173673
BaseRepresentation
bin10100001110100011…
…110001011100110100
32002001122022100101100
4110032203301130310
5323440042020332
613551055330100
71366135155642
oct241643613464
962048270340
1021719095092
119235954672
124261820930
1320818ab776
1410a073c192
15871b4267c
hex50e8f1734

21719095092 has 72 divisors (see below), whose sum is σ = 57925445760. Its totient is φ = 6842655360.

The previous prime is 21719095067. The next prime is 21719095121. The reversal of 21719095092 is 29059091712.

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 23 ways as a sum of consecutive naturals, for example, 257968 + ... + 331640.

It is an arithmetic number, because the mean of its divisors is an integer number (804520080).

Almost surely, 221719095092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21719095092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28962722880).

21719095092 is an abundant number, since it is smaller than the sum of its proper divisors (36206350668).

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

21719095092 is a wasteful number, since it uses less digits than its factorization.

21719095092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74133 (or 74128 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 21719095092 in words is "twenty-one billion, seven hundred nineteen million, ninety-five thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 431 684 862 1293 1724 2586 3879 5172 7758 8189 15516 16378 24567 32756 49134 73673 73701 98268 147346 147402 221019 294692 294804 442038 663057 884076 1326114 1399787 2652228 2799574 4199361 5599148 8398722 12598083 16797444 25196166 31753063 50392332 63506126 95259189 127012252 190518378 285777567 381036756 571555134 603308197 1143110268 1206616394 1809924591 2413232788 3619849182 5429773773 7239698364 10859547546 21719095092