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6220219440744 = 2332312611473737
BaseRepresentation
bin101101010000100000111…
…1110000101111001101000
3211000122110210021020202100
41122201001332011321220
51303403002134100434
621121310201533400
71211252556606051
oct132410176057150
924018423236670
106220219440744
111a88a86793761
1284562aaa4260
1336174465989a
141770bb399728
15abc07572699
hex5a841f85e68

6220219440744 has 144 divisors (see below), whose sum is σ = 17692769973060. Its totient is φ = 1973627251200.

The previous prime is 6220219440731. The next prime is 6220219440803. The reversal of 6220219440744 is 4470449120226.

6220219440744 is a `hidden beast` number, since 6 + 2 + 20 + 219 + 4 + 407 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4641603095844 + 1578616344900 = 2154438^2 + 1256430^2 .

It is a super-2 number, since 2×62202194407442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6220219440744.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3483844 + ... + 4957580.

Almost surely, 26220219440744 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 6220219440744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846384986530).

6220219440744 is an abundant number, since it is smaller than the sum of its proper divisors (11472550532316).

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

6220219440744 is a wasteful number, since it uses less digits than its factorization.

6220219440744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473872 (or 1473834 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 6220219440744 in words is "six trillion, two hundred twenty billion, two hundred nineteen million, four hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 61 62 72 93 122 124 183 186 244 248 279 366 372 488 549 558 732 744 961 1098 1116 1464 1891 1922 2196 2232 2883 3782 3844 4392 5673 5766 7564 7688 8649 11346 11532 15128 17019 17298 22692 23064 34038 34596 45384 58621 68076 69192 117242 136152 175863 234484 351726 468968 527589 703452 1055178 1406904 1473737 2110356 2947474 4220712 4421211 5894948 8842422 11789896 13263633 17684844 26527266 35369688 45685847 53054532 89897957 91371694 106109064 137057541 179795914 182743388 269693871 274115082 359591828 365486776 411172623 539387742 548230164 719183656 809081613 822345246 1078775484 1096460328 1416261257 1618163226 1644690492 2157550968 2786836667 2832522514 3236326452 3289380984 4248783771 5573673334 5665045028 6472652904 8360510001 8497567542 11147346668 11330090056 12746351313 16721020002 16995135084 22294693336 25081530003 25492702626 33442040004 33990270168 50163060006 50985405252 66884080008 86391936677 100326120012 101970810504 172783873354 200652240024 259175810031 345567746708 518351620062 691135493416 777527430093 1036703240124 1555054860186 2073406480248 3110109720372 6220219440744