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46438225361660 = 22511255967342869
BaseRepresentation
bin10101000111100001111011…
…11011010011101011111100
320002102110011202210111120002
422203300331323103223330
522041320441143033120
6242433232021413432
712532023341502056
oct1243607573235374
9202373152714502
1046438225361660
1113884382635900
12526005786a278
131cbb14b767a92
14b6789d0848d6
15557e7138b375
hex2a3c3ded3afc

46438225361660 has 72 divisors (see below), whose sum is σ = 107193933221760. Its totient is φ = 16886276429440.

The previous prime is 46438225361657. The next prime is 46438225361707. The reversal of 46438225361660 is 6616352283464.

46438225361660 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×464382253616603 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46438225361596 and 46438225361605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135268706 + ... + 135611574.

It is an arithmetic number, because the mean of its divisors is an integer number (1488804628080).

Almost surely, 246438225361660 is an apocalyptic number.

It is an amenable number.

46438225361660 is an abundant number, since it is smaller than the sum of its proper divisors (60755707860100).

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

46438225361660 is a wasteful number, since it uses less digits than its factorization.

46438225361660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398867 (or 398854 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 56.

The spelling of 46438225361660 in words is "forty-six trillion, four hundred thirty-eight billion, two hundred twenty-five million, three hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 55967 111934 223868 279835 342869 559670 615637 685738 1119340 1231274 1371476 1714345 2462548 3078185 3428690 3771559 6156370 6772007 6857380 7543118 12312740 13544014 15086236 18857795 27088028 33860035 37715590 41487149 67720070 75431180 82974298 135440140 165948596 207435745 414871490 829742980 19189349323 38378698646 76757397292 95946746615 191893493230 211082842553 383786986460 422165685106 844331370212 1055414212765 2110828425530 2321911268083 4221656851060 4643822536166 9287645072332 11609556340415 23219112680830 46438225361660