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1481247801468 = 223337653567661
BaseRepresentation
bin10101100011100001001…
…111111100000001111100
312020121100201001202022000
4111203201033330001330
5143232043414121333
63052250441022300
7212005462366551
oct25434117740174
95217321052260
101481247801468
1152121484a056
121bb0aaa84990
13a98b13cb946
145199ad98a28
15287e5e5c713
hex158e13fc07c

1481247801468 has 96 divisors (see below), whose sum is σ = 3950110086720. Its totient is φ = 479668158720.

The previous prime is 1481247801463. The next prime is 1481247801541. The reversal of 1481247801468 is 8641087421841.

1481247801468 is a `hidden beast` number, since 1 + 4 + 81 + 24 + 7 + 80 + 1 + 468 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481247801463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2325558 + ... + 2893218.

It is an arithmetic number, because the mean of its divisors is an integer number (41146980070).

Almost surely, 21481247801468 is an apocalyptic number.

1481247801468 is a gapful number since it is divisible by the number (18) 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 1481247801468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975055043360).

1481247801468 is an abundant number, since it is smaller than the sum of its proper divisors (2468862285252).

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

1481247801468 is a wasteful number, since it uses less digits than its factorization.

1481247801468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568364 (or 568356 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 1481247801468 in words is "one trillion, four hundred eighty-one billion, two hundred forty-seven million, eight hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 653 666 999 1306 1332 1959 1998 2612 3918 3996 5877 7836 11754 17631 23508 24161 35262 48322 70524 72483 96644 144966 217449 289932 434898 567661 652347 869796 1135322 1304694 1702983 2270644 2609388 3405966 5108949 6811932 10217898 15326847 20435796 21003457 30653694 42006914 61307388 63010371 84013828 126020742 189031113 252041484 370682633 378062226 567093339 741365266 756124452 1112047899 1134186678 1482730532 2224095798 2268373356 3336143697 4448191596 6672287394 10008431091 13344574788 13715257421 20016862182 27430514842 40033724364 41145772263 54861029684 82291544526 123437316789 164583089052 246874633578 370311950367 493749267156 740623900734 1481247801468