Search a number
-
+
89580137080 = 23578310935363
BaseRepresentation
bin101001101101101100…
…1000110101001111000
322120012222211110110211
41103123121012221320
52431430003341310
6105052541120504
76320610413260
oct1233331065170
9276188743424
1089580137080
1134a99719945
1215440259134
1385a7b47a95
14449b2467a0
1524e4592c8a
hex14db646a78

89580137080 has 128 divisors (see below), whose sum is σ = 235269619200. Its totient is φ = 30063923712.

The previous prime is 89580137033. The next prime is 89580137081. The reversal of 89580137080 is 8073108598.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89580137081) by changing a digit.

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, 2515479 + ... + 2550841.

It is an arithmetic number, because the mean of its divisors is an integer number (1838043900).

Almost surely, 289580137080 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 89580137080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117634809600).

89580137080 is an abundant number, since it is smaller than the sum of its proper divisors (145689482120).

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

89580137080 is a wasteful number, since it uses less digits than its factorization.

89580137080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35573 (or 35569 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 89580137080 in words is "eighty-nine billion, five hundred eighty million, one hundred thirty-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 109 140 166 218 280 332 415 436 545 581 664 763 830 872 1090 1162 1526 1660 2180 2324 2905 3052 3320 3815 4360 4648 5810 6104 7630 9047 11620 15260 18094 23240 30520 35363 36188 45235 63329 70726 72376 90470 126658 141452 176815 180940 247541 253316 282904 316645 353630 361880 495082 506632 633290 707260 990164 1237705 1266580 1414520 1980328 2475410 2533160 2935129 3854567 4950820 5870258 7709134 9901640 11740516 14675645 15418268 19272835 20545903 23481032 26981969 29351290 30836536 38545670 41091806 53963938 58702580 77091340 82183612 102729515 107927876 117405160 134909845 154182680 164367224 205459030 215855752 269819690 319929061 410918060 539639380 639858122 821836120 1079278760 1279716244 1599645305 2239503427 2559432488 3199290610 4479006854 6398581220 8958013708 11197517135 12797162440 17916027416 22395034270 44790068540 89580137080