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63225111088140 = 223527193529109819
BaseRepresentation
bin11100110000000101111100…
…10010011000110000001100
322021212021001200212221000020
432120002332102120300030
531241340011414310030
6342245114241502140
716213602123034161
oct1630027622306014
9267767050787006
1063225111088140
1119166689a30191
127111549941950
132938143c5a4a1
14118817c734068
1574996c083510
hex3980be498c0c

63225111088140 has 96 divisors (see below), whose sum is σ = 177147215616000. Its totient is φ = 16848899569152.

The previous prime is 63225111088127. The next prime is 63225111088141. The reversal of 63225111088140 is 4188011152236.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 63225111088092 and 63225111088101.

It is not an unprimeable number, because it can be changed into a prime (63225111088141) 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 31 ways as a sum of consecutive naturals, for example, 575666151 + ... + 575775969.

It is an arithmetic number, because the mean of its divisors is an integer number (1845283496000).

Almost surely, 263225111088140 is an apocalyptic number.

63225111088140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63225111088140 is an abundant number, since it is smaller than the sum of its proper divisors (113922104527860).

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

63225111088140 is a wasteful number, since it uses less digits than its factorization.

63225111088140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116079 (or 116077 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 63225111088140 in words is "sixty-three trillion, two hundred twenty-five billion, one hundred eleven million, eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2719 3529 5438 7058 8157 10587 10876 13595 14116 16314 17645 21174 27190 32628 35290 40785 42348 52935 54380 70580 81570 105870 109819 163140 211740 219638 329457 439276 549095 658914 1098190 1317828 1647285 2196380 3294570 6589140 9595351 19190702 28786053 38381404 47976755 57572106 95953510 115144212 143930265 191907020 287860530 298597861 387551251 575721060 597195722 775102502 895793583 1162653753 1194391444 1492989305 1550205004 1791587166 1937756255 2325307506 2985978610 3583174332 3875512510 4478967915 4650615012 5813268765 5971957220 7751025020 8957935830 11626537530 17915871660 23253075060 1053751851469 2107503702938 3161255554407 4215007405876 5268759257345 6322511108814 10537518514690 12645022217628 15806277772035 21075037029380 31612555544070 63225111088140