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46046727452052 = 223657259275783
BaseRepresentation
bin10100111100001000101101…
…10101010011010110010100
320001001000122121102002000000
422132010112311103112110
522013412144211431202
6241533324034451300
712461523555252435
oct1236042665232624
9201030577362000
1046046727452052
1113743342235898
1251b81b7a33b30
131c902596a7272
14b5296012748c
1554cbab0ba91c
hex29e116d53594

46046727452052 has 84 divisors (see below), whose sum is σ = 120819938967840. Its totient is φ = 15348585434832.

The previous prime is 46046727452003. The next prime is 46046727452057. The reversal of 46046727452052 is 25025472764064.

It is a happy number.

46046727452052 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 67 + 2 + 7 + 4 + 520 + 52 = 666.

It is a super-2 number, since 2×460467274520522 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46046727452052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46046727452057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 166829353 + ... + 167105135.

It is an arithmetic number, because the mean of its divisors is an integer number (1438332606760).

Almost surely, 246046727452052 is an apocalyptic number.

It is an amenable number.

46046727452052 is an abundant number, since it is smaller than the sum of its proper divisors (74773211515788).

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

46046727452052 is a wasteful number, since it uses less digits than its factorization.

46046727452052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333064 (or 333047 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 46046727452052 in words is "forty-six trillion, forty-six billion, seven hundred twenty-seven million, four hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 57259 114518 171777 229036 275783 343554 515331 551566 687108 827349 1030662 1103132 1545993 1654698 2061324 2482047 3091986 3309396 4637979 4964094 6183972 7446141 9275958 9928188 13913937 14892282 18551916 22338423 27827874 29784564 41741811 44676846 55655748 67015269 83483622 89353692 134030538 166967244 201045807 268061076 402091614 804183228 15791058797 31582117594 47373176391 63164235188 94746352782 142119529173 189492705564 284239058346 426358587519 568478116692 852717175038 1279075762557 1705434350076 2558151525114 3837227287671 5116303050228 7674454575342 11511681863013 15348909150684 23023363726026 46046727452052