Search a number
-
+
20432903521408 = 277531177936529
BaseRepresentation
bin1001010010101011001111…
…11101001100010010000000
32200100100220011210221121121
410221111213331030102000
510134233041300141113
6111242425111002024
74206141253156510
oct451254775142200
980310804727547
1020432903521408
116568600398034
12236004a069314
13b52a786bb971
14508d5a319840
15256790240e8d
hex129567f4c480

20432903521408 has 128 divisors (see below), whose sum is σ = 47404425744000. Its totient is φ = 8590768422912.

The previous prime is 20432903521397. The next prime is 20432903521427. The reversal of 20432903521408 is 80412530923402.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559342888 + ... + 559379416.

It is an arithmetic number, because the mean of its divisors is an integer number (370347076125).

Almost surely, 220432903521408 is an apocalyptic number.

20432903521408 is a gapful number since it is divisible by the number (28) 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 20432903521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23702212872000).

20432903521408 is an abundant number, since it is smaller than the sum of its proper divisors (26971522222592).

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

20432903521408 is a wasteful number, since it uses less digits than its factorization.

20432903521408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48382 (or 48370 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 20432903521408 in words is "twenty trillion, four hundred thirty-two billion, nine hundred three million, five hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11779 11872 23558 23744 36529 47116 47488 73058 82453 94232 146116 164906 188464 255703 292232 329812 376928 511406 584464 624287 659624 753856 1022812 1168928 1248574 1319248 1507712 1936037 2045624 2337856 2497148 2638496 3872074 4091248 4370009 4675712 4994296 5276992 7744148 8182496 8740018 9988592 10553984 13552259 15488296 16364992 17480036 19977184 27104518 30976592 32729984 34960072 39954368 54209036 61953184 69920144 79908736 108418072 123906368 139840288 216836144 247812736 279680576 430275091 433672288 559361152 860550182 867344576 1721100364 1734689152 3011925637 3442200728 6023851274 6884401456 12047702548 13768802912 22804579823 24095405096 27537605824 45609159646 48190810192 55075211648 91218319292 96381620384 159632058761 182436638584 192763240768 319264117522 364873277168 385526481536 638528235044 729746554336 1277056470088 1459493108672 2554112940176 2918986217344 5108225880352 10216451760704 20432903521408