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6540020667400 = 23521116927175621
BaseRepresentation
bin101111100101011011110…
…0110111101010000001000
3212011012221021200210222111
41133022313212331100020
51324122430242324100
621524235524032104
71243333544310253
oct137126746752010
925135837623874
106540020667400
1120a1675194690
128975bb832634
1338594b91824c
1418877824009a
15b51c32d66ba
hex5f2b79bd408

6540020667400 has 96 divisors (see below), whose sum is σ = 16588945025280. Its totient is φ = 2378035296000.

The previous prime is 6540020667359. The next prime is 6540020667407. The reversal of 6540020667400 is 47660200456.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6540020667407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37151590 + ... + 37327210.

It is an arithmetic number, because the mean of its divisors is an integer number (172801510680).

Almost surely, 26540020667400 is an apocalyptic number.

It is an amenable number.

6540020667400 is an abundant number, since it is smaller than the sum of its proper divisors (10048924357880).

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

6540020667400 is a wasteful number, since it uses less digits than its factorization.

6540020667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192575 (or 192566 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

Adding to 6540020667400 its reverse (47660200456), we get a palindrome (6587680867856).

The spelling of 6540020667400 in words is "six trillion, five hundred forty billion, twenty million, six hundred sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 16927 33854 67708 84635 135416 169270 175621 186197 338540 351242 372394 423175 677080 702484 744788 846350 878105 930985 1404968 1489576 1692700 1756210 1861970 1931831 3385400 3512420 3723940 3863662 4390525 4654925 7024840 7447880 7727324 8781050 9309850 9659155 15454648 17562100 18619700 19318310 35124200 37239400 38636620 48295775 77273240 96591550 193183100 386366200 2972736667 5945473334 11890946668 14863683335 23781893336 29727366670 32700103337 59454733340 65400206674 74318416675 118909466680 130800413348 148636833350 163500516685 261600826696 297273666700 327001033370 594547333400 654002066740 817502583425 1308004133480 1635005166850 3270010333700 6540020667400