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89974405120 = 211513167073
BaseRepresentation
bin101001111001011100…
…1000111100000000000
322121020110201100112211
41103302321013200000
52433231421430440
6105200023431504
76333435552625
oct1236271074000
9277213640484
1089974405120
113518122a2a6
12155302b5594
13863b730392
1444d775834c
152518ec2eea
hex14f2e47800

89974405120 has 96 divisors (see below), whose sum is σ = 217537079760. Its totient is φ = 35714498560.

The previous prime is 89974405069. The next prime is 89974405201. The reversal of 89974405120 is 2150447998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1307904 + ... + 1374976.

Almost surely, 289974405120 is an apocalyptic number.

89974405120 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 89974405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108768539880).

89974405120 is an abundant number, since it is smaller than the sum of its proper divisors (127562674640).

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

89974405120 is a wasteful number, since it uses less digits than its factorization.

89974405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67231 (or 67211 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 89974405120 in words is "eighty-nine billion, nine hundred seventy-four million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 256 262 320 512 524 640 655 1024 1048 1280 1310 2048 2096 2560 2620 4192 5120 5240 8384 10240 10480 16768 20960 33536 41920 67072 67073 83840 134144 134146 167680 268288 268292 335360 335365 536584 670720 670730 1073168 1341440 1341460 2146336 2682920 4292672 5365840 8585344 8786563 10731680 17170688 17573126 21463360 34341376 35146252 42926720 43932815 68682752 70292504 85853440 87865630 137365504 140585008 171706880 175731260 281170016 343413760 351462520 562340032 686827520 702925040 1124680064 1405850080 2249360128 2811700160 4498720256 5623400320 8997440512 11246800640 17994881024 22493601280 44987202560 89974405120