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10890000216 = 23321779112621
BaseRepresentation
bin10100010010001100…
…00011011101011000
31001002221110022220100
422021012003131120
5134300320001331
65000334255400
7533602321524
oct121106033530
931087408810
1010890000216
114689137387
12213b057560
1310471c2414
14754438d84
1543b0b1ae6
hex289183758

10890000216 has 96 divisors (see below), whose sum is σ = 31624257600. Its totient is φ = 3373194240.

The previous prime is 10890000197. The next prime is 10890000241. The reversal of 10890000216 is 61200009801.

It is a self number, because there is not a number n which added to its sum of digits gives 10890000216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40386 + ... + 153006.

It is an arithmetic number, because the mean of its divisors is an integer number (329419350).

Almost surely, 210890000216 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 10890000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812128800).

10890000216 is an abundant number, since it is smaller than the sum of its proper divisors (20734257384).

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

10890000216 is a wasteful number, since it uses less digits than its factorization.

10890000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112729 (or 112722 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10890000216 in words is "ten billion, eight hundred ninety million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 612 632 711 948 1224 1343 1422 1896 2686 2844 4029 5372 5688 8058 10744 12087 16116 24174 32232 48348 96696 112621 225242 337863 450484 675726 900968 1013589 1351452 1914557 2027178 2702904 3829114 4054356 5743671 7658228 8108712 8897059 11487342 15316456 17231013 17794118 22974684 26691177 34462026 35588236 45949368 53382354 68924052 71176472 80073531 106764708 137848104 151250003 160147062 213529416 302500006 320294124 453750009 605000012 640588248 907500018 1210000024 1361250027 1815000036 2722500054 3630000072 5445000108 10890000216