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10223426195424 = 2532134363502697
BaseRepresentation
bin1001010011000101001110…
…1011111100111111100000
31100012100110011000222010100
42110301103223330333200
52320000034101223144
633424324355502400
72103422013564201
oct224612353747740
940170404028110
1010223426195424
113291804621602
1211914508b7a00
135920ac91a4a0
14274b605615a8
1512ae04d12269
hex94c53afcfe0

10223426195424 has 144 divisors (see below), whose sum is σ = 32037365151792. Its totient is φ = 3072514443264.

The previous prime is 10223426195413. The next prime is 10223426195431. The reversal of 10223426195424 is 42459162432201.

10223426195424 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 4 + 2 + 619 + 5 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 10223426195424.

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, 31590357 + ... + 31912340.

It is an arithmetic number, because the mean of its divisors is an integer number (222481702443).

Almost surely, 210223426195424 is an apocalyptic number.

It is an amenable number.

10223426195424 is an abundant number, since it is smaller than the sum of its proper divisors (21813938956368).

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

10223426195424 is a wasteful number, since it uses less digits than its factorization.

10223426195424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63502769 (or 63502758 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10223426195424 in words is "ten trillion, two hundred twenty-three billion, four hundred twenty-six million, one hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 63502697 127005394 190508091 254010788 381016182 508021576 571524273 762032364 825535061 1016043152 1143048546 1524064728 1651070122 2032086304 2286097092 2476605183 2730615971 3048129456 3302140244 4572194184 4953210366 5461231942 6096258912 6604280488 7429815549 8191847913 9144388368 9906420732 10922463884 13208560976 14859631098 16383695826 18288776736 19812841464 21844927768 24575543739 26417121952 29719262196 32767391652 35498007623 39625682928 43689855536 49151087478 59438524392 65534783304 70996015246 79251365856 87379711072 98302174956 106494022869 118877048784 131069566608 141992030492 196604349912 212988045738 237754097568 262139133216 283984060984 319482068607 393208699824 425976091476 567968121968 638964137214 786417399648 851952182952 1135936243936 1277928274428 1703904365904 2555856548856 3407808731808 5111713097712 10223426195424