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46943433434964 = 223112309154019953
BaseRepresentation
bin10101010110001110111101…
…01011001010011101010100
320011012202012120220202021110
422223013132223022131110
522123110122424404324
6243501303212015020
712613360020326553
oct1253073653123524
9204182176822243
1046943433434964
1113a596643a7910
125321b50a61470
132026992897321
14b84107c4dd9a
1556618e327329
hex2ab1deaca754

46943433434964 has 48 divisors (see below), whose sum is σ = 119544127496640. Its totient is φ = 14219121968640.

The previous prime is 46943433434959. The next prime is 46943433435011.

46943433434964 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46943433434895 and 46943433434904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76705189 + ... + 77314764.

It is an arithmetic number, because the mean of its divisors is an integer number (2490502656180).

Almost surely, 246943433434964 is an apocalyptic number.

46943433434964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46943433434964 is an abundant number, since it is smaller than the sum of its proper divisors (72600694061676).

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

46943433434964 is a wasteful number, since it uses less digits than its factorization.

46943433434964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154022280 (or 154022278 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 66.

The spelling of 46943433434964 in words is "forty-six trillion, nine hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2309 4618 6927 9236 13854 25399 27708 50798 76197 101596 152394 304788 154019953 308039906 462059859 616079812 924119718 1694219483 1848239436 3388438966 5082658449 6776877932 10165316898 20330633796 355632071477 711264142954 1066896214431 1422528285908 2133792428862 3911952786247 4267584857724 7823905572494 11735858358741 15647811144988 23471716717482 46943433434964