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4203220668416 = 21271121211543
BaseRepresentation
bin111101001010100011011…
…110011001000000000000
3112212211020200020021220222
4331022203132121000000
51022331143442342131
612534533302122212
7612446504122010
oct75124336310000
915784220207828
104203220668416
111380637542700
1257a742120368
13246492441b63
14107619069c40
157450706187b
hex3d2a3799000

4203220668416 has 156 divisors (see below), whose sum is σ = 10558877345856. Its totient is φ = 1637617090560.

The previous prime is 4203220668377. The next prime is 4203220668419. The reversal of 4203220668416 is 6148660223024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4203220668419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2863541 + ... + 4075083.

Almost surely, 24203220668416 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 4203220668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279438672928).

4203220668416 is an abundant number, since it is smaller than the sum of its proper divisors (6355656677440).

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

4203220668416 is a wasteful number, since it uses less digits than its factorization.

4203220668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211596 (or 1211563 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 4203220668416 in words is "four trillion, two hundred three billion, two hundred twenty million, six hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 512 616 704 847 896 968 1024 1232 1408 1694 1792 1936 2048 2464 2816 3388 3584 3872 4096 4928 5632 6776 7168 7744 9856 11264 13552 14336 15488 19712 22528 27104 28672 30976 39424 45056 54208 61952 78848 108416 123904 157696 216832 247808 315392 433664 495616 867328 1211543 1734656 2423086 3469312 4846172 8480801 9692344 13326973 16961602 19384688 26653946 33923204 38769376 53307892 67846408 77538752 93288811 106615784 135692816 146596703 155077504 186577622 213231568 271385632 293193406 310155008 373155244 426463136 542771264 586386812 620310016 746310488 852926272 1026176921 1085542528 1172773624 1240620032 1492620976 1705852544 2052353842 2171085056 2345547248 2481240064 2985241952 3411705088 4104707684 4342170112 4691094496 4962480128 5970483904 6823410176 8209415368 8684340224 9382188992 11940967808 13646820352 16418830736 17368680448 18764377984 23881935616 27293640704 32837661472 34737360896 37528755968 47763871232 54587281408 65675322944 75057511936 95527742464 131350645888 150115023872 191055484928 262701291776 300230047744 382110969856 525402583552 600460095488 1050805167104 2101610334208 4203220668416