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90543337080 = 23357206352249
BaseRepresentation
bin101010001010011001…
…1011010111001111000
322122201010021002110220
41110110303122321320
52440413043241310
6105332305540040
76353514444450
oct1242463327170
9278633232426
1090543337080
11354433982a9
121566a944620
1386cc56bb01
14454d134d60
15254de05670
hex1514cdae78

90543337080 has 128 divisors (see below), whose sum is σ = 310590720000. Its totient is φ = 20685192192.

The previous prime is 90543337051. The next prime is 90543337153. The reversal of 90543337080 is 8073334509.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706796 + ... + 1759044.

It is an arithmetic number, because the mean of its divisors is an integer number (2426490000).

Almost surely, 290543337080 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 90543337080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155295360000).

90543337080 is an abundant number, since it is smaller than the sum of its proper divisors (220047382920).

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

90543337080 is a wasteful number, since it uses less digits than its factorization.

90543337080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54333 (or 54329 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 90543337080 in words is "ninety billion, five hundred forty-three million, three hundred thirty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2063 4126 6189 8252 10315 12378 14441 16504 20630 24756 28882 30945 41260 43323 49512 52249 57764 61890 72205 82520 86646 104498 115528 123780 144410 156747 173292 208996 216615 247560 261245 288820 313494 346584 365743 417992 433230 522490 577640 626988 731486 783735 866460 1044980 1097229 1253976 1462972 1567470 1732920 1828715 2089960 2194458 2925944 3134940 3657430 4388916 5486145 6269880 7314860 8777832 10972290 14629720 21944580 43889160 107789687 215579374 323369061 431158748 538948435 646738122 754527809 862317496 1077896870 1293476244 1509055618 1616845305 2155793740 2263583427 2586952488 3018111236 3233690610 3772639045 4311587480 4527166854 6036222472 6467381220 7545278090 9054333708 11317917135 12934762440 15090556180 18108667416 22635834270 30181112360 45271668540 90543337080