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89018949840 = 24352959216781
BaseRepresentation
bin101001011100111110…
…0010110000011010000
322111202212212012022020
41102321330112003100
52424302322343330
6104521133011440
76300654406002
oct1227174260320
9274685765266
1089018949840
1134830970637
1215304323b80
1385187bb522
1444468c4372
1524b0190210
hex14b9f160d0

89018949840 has 160 divisors (see below), whose sum is σ = 290314454400. Its totient is φ = 22531246080.

The previous prime is 89018949839. The next prime is 89018949857. The reversal of 89018949840 is 4894981098.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302250 + ... + 519030.

It is an arithmetic number, because the mean of its divisors is an integer number (1814465340).

Almost surely, 289018949840 is an apocalyptic number.

89018949840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89018949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145157227200).

89018949840 is an abundant number, since it is smaller than the sum of its proper divisors (201295504560).

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

89018949840 is a wasteful number, since it uses less digits than its factorization.

89018949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216885 (or 216879 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 89018949840 in words is "eighty-nine billion, eighteen million, nine hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 59 60 80 87 116 118 120 145 174 177 232 236 240 290 295 348 354 435 464 472 580 590 696 708 870 885 944 1160 1180 1392 1416 1711 1740 1770 2320 2360 2832 3422 3480 3540 4720 5133 6844 6960 7080 8555 10266 13688 14160 17110 20532 25665 27376 34220 41064 51330 68440 82128 102660 136880 205320 216781 410640 433562 650343 867124 1083905 1300686 1734248 2167810 2601372 3251715 3468496 4335620 5202744 6286649 6503430 8671240 10405488 12573298 12790079 13006860 17342480 18859947 25146596 25580158 26013720 31433245 37719894 38370237 50293192 51160316 52027440 62866490 63950395 75439788 76740474 94299735 100586384 102320632 125732980 127900790 150879576 153480948 188599470 191851185 204641264 251465960 255801580 301759152 306961896 370912291 377198940 383702370 502931920 511603160 613923792 741824582 754397880 767404740 1023206320 1112736873 1483649164 1508795760 1534809480 1854561455 2225473746 2967298328 3069618960 3709122910 4450947492 5563684365 5934596656 7418245820 8901894984 11127368730 14836491640 17803789968 22254737460 29672983280 44509474920 89018949840