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146235032636 = 2271110710940709
BaseRepresentation
bin1000100000110001001…
…0011000010000111100
3111222110101000100120212
42020030102120100330
54343442132021021
6151102432131552
713364561161010
oct2101422302074
9458411010525
10146235032636
1157021955480
1224411996bb8
1310a3655c914
14711373c540
153c0d2d385b
hex220c49843c

146235032636 has 96 divisors (see below), whose sum is σ = 325002585600. Its totient is φ = 55923022080.

The previous prime is 146235032611. The next prime is 146235032641. The reversal of 146235032636 is 636230532641.

It is a junction number, because it is equal to n+sod(n) for n = 146235032593 and 146235032602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3571850 + ... + 3612558.

It is an arithmetic number, because the mean of its divisors is an integer number (3385443600).

Almost surely, 2146235032636 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 146235032636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162501292800).

146235032636 is an abundant number, since it is smaller than the sum of its proper divisors (178767552964).

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

146235032636 is a wasteful number, since it uses less digits than its factorization.

146235032636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40947 (or 40945 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 146235032636 in words is "one hundred forty-six billion, two hundred thirty-five million, thirty-two thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 109 154 214 218 308 428 436 749 763 1177 1199 1498 1526 2354 2398 2996 3052 4708 4796 8239 8393 11663 16478 16786 23326 32956 33572 40709 46652 81418 81641 128293 162836 163282 256586 284963 326564 447799 513172 569926 895598 898051 1139852 1791196 1796102 3134593 3592204 4355863 4437281 6269186 8711726 8874562 12538372 17423452 17749124 30491041 31060967 47914493 48810091 60982082 62121934 95828986 97620182 121964164 124243868 191657972 195240364 335401451 341670637 474789067 670802902 683341274 949578134 1341605804 1366682548 1899156268 3323523469 5222679737 6647046938 10445359474 13294093876 20890718948 36558758159 73117516318 146235032636