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540252141616 = 24117940079697
BaseRepresentation
bin1111101110010011000…
…10010111100000110000
31220122111002201101000101
413313021202113200300
532322414022012431
61052104410202144
754013644302035
oct7671142274060
91818432641011
10540252141616
11199135282240
1288855423354
133bc3a512755
141c2110a738c
15e0be823961
hex7dc9897830

540252141616 has 80 divisors (see below), whose sum is σ = 1156758819840. Its totient is φ = 242375178240.

The previous prime is 540252141613. The next prime is 540252141647. The reversal of 540252141616 is 616141252045.

It is not an unprimeable number, because it can be changed into a prime (540252141613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55708480 + ... + 55718176.

It is an arithmetic number, because the mean of its divisors is an integer number (14459485248).

Almost surely, 2540252141616 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 540252141616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578379409920).

540252141616 is an abundant number, since it is smaller than the sum of its proper divisors (616506678224).

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

540252141616 is a wasteful number, since it uses less digits than its factorization.

540252141616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13802 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 540252141616 in words is "five hundred forty billion, two hundred fifty-two million, one hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 4007 6952 8014 9697 13904 16028 19394 32056 38788 44077 64112 77576 88154 106667 155152 176308 213334 316553 352616 426668 633106 705232 766063 853336 1266212 1532126 1706672 2532424 3064252 3482083 5064848 6128504 6964166 8426693 12257008 13928332 16853386 27856664 33706772 38855879 55713328 67413544 77711758 134827088 155423516 310847032 427414669 621694064 854829338 1709658676 3069614441 3419317352 6139228882 6838634704 12278457764 24556915528 33765758851 49113831056 67531517702 135063035404 270126070808 540252141616