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10024055421320 = 23519157167503053
BaseRepresentation
bin1001000111011110100001…
…0000110011100110001000
31022111021211122202021021202
42101313220100303212020
52303213231141440240
633152553144123332
72053133303142053
oct221675020634610
938437748667252
1010024055421320
1132151a5a60106
12115a88ba66548
13579358a8a735
14269249c73a9a
15125b36c30315
hex91de8433988

10024055421320 has 128 divisors (see below), whose sum is σ = 24035517676800. Its totient is φ = 3751785962496.

The previous prime is 10024055421313. The next prime is 10024055421343. The reversal of 10024055421320 is 2312455042001.

It is an unprimeable number.

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, 19674914 + ... + 20177966.

It is an arithmetic number, because the mean of its divisors is an integer number (187777481850).

Almost surely, 210024055421320 is an apocalyptic number.

10024055421320 is a gapful number since it is divisible by the number (10) 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 10024055421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017758838400).

10024055421320 is an abundant number, since it is smaller than the sum of its proper divisors (14011462255480).

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

10024055421320 is a wasteful number, since it uses less digits than its factorization.

10024055421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503407 (or 503403 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 10024055421320 in words is "ten trillion, twenty-four billion, fifty-five million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 167 190 314 334 380 628 668 760 785 835 1256 1336 1570 1670 2983 3140 3173 3340 5966 6280 6346 6680 11932 12692 14915 15865 23864 25384 26219 29830 31730 52438 59660 63460 104876 119320 126920 131095 209752 262190 498161 503053 524380 996322 1006106 1048760 1992644 2012212 2490805 2515265 3985288 4024424 4981610 5030530 9558007 9963220 10061060 19116014 19926440 20122120 38232028 47790035 76464056 78979321 84009851 95580070 157958642 168019702 191160140 315917284 336039404 382320280 394896605 420049255 631834568 672078808 789793210 840098510 1500607099 1579586420 1596187169 1680197020 3001214198 3159172840 3192374338 3360394040 6002428396 6384748676 7503035495 7980935845 12004856792 12769497352 13189546607 15006070990 15961871690 26379093214 30012141980 31923743380 52758186428 60024283960 63847486760 65947733035 105516372856 131895466070 250601385533 263790932140 501202771066 527581864280 1002405542132 1253006927665 2004811084264 2506013855330 5012027710660 10024055421320