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23424057094900 = 225271122091137707
BaseRepresentation
bin1010101001101110101101…
…00110100011001011110100
310001221022120210222012021111
411110313112212203023310
511032234432104014100
6121452510244524404
74635221654064640
oct524672646431364
9101838523865244
1023424057094900
1175110a5625620
1227638a53b0704
13100bb5751bb67
145ada32375c20
152a94a7ee16ba
hex154dd69a32f4

23424057094900 has 144 divisors (see below), whose sum is σ = 63376050673152. Its totient is φ = 7300621296000.

The previous prime is 23424057094891. The next prime is 23424057094913. The reversal of 23424057094900 is 949075042432.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170031847 + ... + 170169553.

It is an arithmetic number, because the mean of its divisors is an integer number (440111463008).

Almost surely, 223424057094900 is an apocalyptic number.

23424057094900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23424057094900 is an abundant number, since it is smaller than the sum of its proper divisors (39951993578252).

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

23424057094900 is a wasteful number, since it uses less digits than its factorization.

23424057094900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159830 (or 159823 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 23424057094900 in words is "twenty-three trillion, four hundred twenty-four billion, fifty-seven million, ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 22091 44182 88364 110455 137707 154637 220910 243001 275414 309274 441820 486002 550828 552275 618548 688535 773185 963949 972004 1104550 1215005 1377070 1514777 1546370 1701007 1927898 2209100 2430010 2754140 3029554 3092740 3402014 3442675 3855796 3865925 4819745 4860020 6059108 6075025 6804028 6885350 7573885 7731850 8505035 9639490 10603439 12150050 13770700 15147770 15463700 17010070 19278980 21206878 24098725 24300100 30295540 34020140 37869425 42413756 42525175 48197450 53017195 75738850 85050350 96394900 106034390 151477700 170100700 212068780 265085975 530171950 1060343900 3042085337 6084170674 12168341348 15210426685 21294597359 30420853370 33462938707 42589194718 60841706740 66925877414 76052133425 85178389436 106472986795 133851754828 152104266850 167314693535 212945973590 234240570949 304208533700 334629387070 425891947180 468481141898 532364933975 669258774140 836573467675 936962283796 1064729867950 1171202854745 1673146935350 2129459735900 2342405709490 3346293870700 4684811418980 5856014273725 11712028547450 23424057094900