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46009141460 = 22522314297219
BaseRepresentation
bin101010110110010110…
…111100100011010100
311101202110022112220022
4222312112330203110
51223211320011320
633045235324312
73216102151442
oct526626744324
9141673275808
1046009141460
111856aa62a57
128b00450698
134452ccc179
1423266b9b92
1512e4328325
hexab65bc8d4

46009141460 has 48 divisors (see below), whose sum is σ = 97133836800. Its totient is φ = 18305771904.

The previous prime is 46009141457. The next prime is 46009141469. The reversal of 46009141460 is 6414190064.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 46009141460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46009141469) 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, 6369731 + ... + 6376949.

It is an arithmetic number, because the mean of its divisors is an integer number (2023621600).

Almost surely, 246009141460 is an apocalyptic number.

It is an amenable number.

46009141460 is an abundant number, since it is smaller than the sum of its proper divisors (51124695340).

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

46009141460 is a wasteful number, since it uses less digits than its factorization.

46009141460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 46009141460 in words is "forty-six billion, nine million, one hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 223 446 892 1115 1429 2230 2858 4460 5716 7145 7219 14290 14438 28580 28876 36095 72190 144380 318667 637334 1274668 1593335 1609837 3186670 3219674 6373340 6439348 8049185 10315951 16098370 20631902 32196740 41263804 51579755 103159510 206319020 2300457073 4600914146 9201828292 11502285365 23004570730 46009141460