Search a number
-
+
89357137120 = 2553715199961
BaseRepresentation
bin101001100111000011…
…0011011010011100000
322112122110012220001001
41103032012123103200
52431000411341440
6105014453321344
76312232063516
oct1231606332340
9275573186031
1089357137120
1134994857759
1215399636254
138570899a44
1444797984b6
1524cebe3b9a
hex14ce19b4e0

89357137120 has 96 divisors (see below), whose sum is σ = 218249833536. Its totient is φ = 34546176000.

The previous prime is 89357137099. The next prime is 89357137187. The reversal of 89357137120 is 2173175398.

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 15 ways as a sum of consecutive naturals, for example, 843940 + ... + 943900.

It is an arithmetic number, because the mean of its divisors is an integer number (2273435766).

Almost surely, 289357137120 is an apocalyptic number.

89357137120 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 89357137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109124916768).

89357137120 is an abundant number, since it is smaller than the sum of its proper divisors (128892696416).

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

89357137120 is a wasteful number, since it uses less digits than its factorization.

89357137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100164 (or 100156 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 89357137120 in words is "eighty-nine billion, three hundred fifty-seven million, one hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 151 160 185 296 302 370 592 604 740 755 1184 1208 1480 1510 2416 2960 3020 4832 5587 5920 6040 11174 12080 22348 24160 27935 44696 55870 89392 99961 111740 178784 199922 223480 399844 446960 499805 799688 893920 999610 1599376 1999220 3198752 3698557 3998440 7397114 7996880 14794228 15094111 15993760 18492785 29588456 30188222 36985570 59176912 60376444 73971140 75470555 118353824 120752888 147942280 150941110 241505776 295884560 301882220 483011552 558482107 591769120 603764440 1116964214 1207528880 2233928428 2415057760 2792410535 4467856856 5584821070 8935713712 11169642140 17871427424 22339284280 44678568560 89357137120