Search a number
-
+
2032305296528 = 2413174713998741
BaseRepresentation
bin11101100100101110110…
…101011101010010010000
321012021201211221221200002
4131210232311131102100
5231244130123442103
64153343403345132
7266554263665033
oct35445665352220
97167654857602
102032305296528
117139943a3261
12289a5ab221a8
13119851407350
147051514501a
1537ce91c2488
hex1d92ed5d490

2032305296528 has 160 divisors (see below), whose sum is σ = 4589256268800. Its totient is φ = 863311749120.

The previous prime is 2032305296503. The next prime is 2032305296543. The reversal of 2032305296528 is 8256925032302.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232498238 + ... + 232506978.

It is an arithmetic number, because the mean of its divisors is an integer number (28682851680).

Almost surely, 22032305296528 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 2032305296528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294628134400).

2032305296528 is an abundant number, since it is smaller than the sum of its proper divisors (2556950972272).

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

2032305296528 is a wasteful number, since it uses less digits than its factorization.

2032305296528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 2032305296528 in words is "two trillion, thirty-two billion, three hundred five million, two hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 47 52 68 94 104 136 188 208 221 272 376 442 611 752 799 884 1222 1399 1598 1768 2444 2798 3196 3536 4888 5596 6392 8741 9776 10387 11192 12784 17482 18187 20774 22384 23783 34964 36374 41548 47566 65753 69928 72748 83096 95132 113633 131506 139856 145496 148597 166192 190264 227266 263012 290992 297194 309179 380528 410827 454532 526024 594388 618358 821654 854789 909064 1052048 1117801 1188776 1236716 1643308 1709578 1818128 1931761 2235602 2377552 2473432 3286616 3419156 3863522 4471204 4946864 5340751 6573232 6838312 6984059 7727044 8942408 10681502 12228659 13676624 13968118 14531413 15454088 17884816 21363004 24457318 27936236 29062826 30908176 42726008 48914636 55872472 58125652 85452016 90792767 97829272 111744944 116251304 158972567 181585534 195658544 207887203 232502608 317945134 363171068 415774406 574746973 635890268 726342136 831548812 1149493946 1271780536 1452684272 1663097624 2298987892 2543561072 2702533639 3326195248 4597975784 5405067278 7471710649 9195951568 9770698541 10810134556 14943421298 19541397082 21620269112 29886842596 39082794164 43240538224 59773685192 78165588328 119547370384 127019081033 156331176656 254038162066 508076324132 1016152648264 2032305296528