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20203041240032 = 2572692831184759
BaseRepresentation
bin1001001011111111000110…
…00110001011001111100000
32122112101120200101012011212
410211333203012023033200
510122001312024140112
6110545052104325252
74153423124052620
oct445774306131740
978471520335155
1020203041240032
11648a0750a6952
122323599773828
13b371a56c6511
144dbb921dc880
152507da2e8522
hex125fe318b3e0

20203041240032 has 96 divisors (see below), whose sum is σ = 45787087987200. Its totient is φ = 8595769978368.

The previous prime is 20203041240017. The next prime is 20203041240103. The reversal of 20203041240032 is 23004214030202.

It is a super-2 number, since 2×202030412400322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16460069 + ... + 17644827.

It is an arithmetic number, because the mean of its divisors is an integer number (476948833200).

Almost surely, 220203041240032 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 20203041240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22893543993600).

20203041240032 is an abundant number, since it is smaller than the sum of its proper divisors (25584046747168).

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

20203041240032 is a wasteful number, since it uses less digits than its factorization.

20203041240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185328 (or 1185320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20203041240032 its reverse (23004214030202), we get a palindrome (43207255270234).

The spelling of 20203041240032 in words is "twenty trillion, two hundred three billion, forty-one million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 269 283 538 566 1076 1132 1883 1981 2152 2264 3766 3962 4304 4528 7532 7924 8608 9056 15064 15848 30128 31696 60256 63392 76127 152254 304508 532889 609016 1065778 1184759 1218032 2131556 2369518 2436064 4263112 4739036 8293313 8526224 9478072 16586626 17052448 18956144 33173252 37912288 66346504 132693008 265386016 318700171 335286797 637400342 670573594 1274800684 1341147188 2230901197 2347007579 2549601368 2682294376 4461802394 4694015158 5099202736 5364588752 8923604788 9388030316 10198405472 10729177504 17847209576 18776060632 35694419152 37552121264 71388838304 75104242528 90192148393 180384296786 360768593572 631345038751 721537187144 1262690077502 1443074374288 2525380155004 2886148748576 5050760310008 10101520620016 20203041240032