Search a number
-
+
45541853501760 = 26345711229233307
BaseRepresentation
bin10100101101011100010100…
…00000000001100101000000
312222020202111002000000220000
422112232022000001211000
521432124203444024020
6240505345541520000
712410201404424340
oct1226561200014500
9188222432000800
1045541853501760
1113569212034400
125136396713000
131c54769862345
14b36347894d20
1553e9ac62e090
hex296b8a001940

45541853501760 has 3360 divisors, whose sum is σ = 212114226804480. Its totient is φ = 9068075089920.

The previous prime is 45541853501737. The next prime is 45541853501783. The reversal of 45541853501760 is 6710535814554.

45541853501760 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 18 + 53 + 501 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45541853501737) and next prime (45541853501783).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45541853501697 and 45541853501706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 148344799527 + ... + 148344799833.

It is an arithmetic number, because the mean of its divisors is an integer number (63129234168).

Almost surely, 245541853501760 is an apocalyptic number.

45541853501760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45541853501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106057113402240).

45541853501760 is an abundant number, since it is smaller than the sum of its proper divisors (166572373302720).

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

45541853501760 is a wasteful number, since it uses less digits than its factorization.

45541853501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 45541853501760 in words is "forty-five trillion, five hundred forty-one billion, eight hundred fifty-three million, five hundred one thousand, seven hundred sixty".