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481046558434156 = 2211135914254076047
BaseRepresentation
bin110110101100000100110000…
…1001111000110001101101100
32100002020121020202110002002001
41231120021201033012031230
51001022431322424343111
64423033423234542044
7203216316106011061
oct15530114117061554
92302217222402061
10481046558434156
1112a304777418390
1245b52067137924
131785565a3cb210
1486b0ac5c68c68
153a931d195a1c1
hex1b582613c636c

481046558434156 has 48 divisors (see below), whose sum is σ = 1005767605946880. Its totient is φ = 198416738560320.

The previous prime is 481046558434147. The next prime is 481046558434163. The reversal of 481046558434156 is 651434855640184.

It is a super-3 number, since 3×4810465584341563 (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7127004276 + ... + 7127071771.

It is an arithmetic number, because the mean of its divisors is an integer number (20953491790560).

Almost surely, 2481046558434156 is an apocalyptic number.

It is an amenable number.

481046558434156 is an abundant number, since it is smaller than the sum of its proper divisors (524721047512724).

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

481046558434156 is a wasteful number, since it uses less digits than its factorization.

481046558434156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14254076134 (or 14254076132 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 64.

The spelling of 481046558434156 in words is "four hundred eighty-one trillion, forty-six billion, five hundred fifty-eight million, four hundred thirty-four thousand, one hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 44 52 59 118 143 236 286 572 649 767 1298 1534 2596 3068 8437 16874 33748 14254076047 28508152094 57016304188 156794836517 185302988611 313589673034 370605977222 627179346068 741211954444 840990486773 1681980973546 2038332874721 3363961947092 4076665749442 8153331498884 9250895354503 10932876328049 18501790709006 21865752656098 37003581418012 43731505312196 120261639608539 240523279217078 481046558434156