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46991346381 = 32725319910103
BaseRepresentation
bin101011110000111001…
…110000101011001101
311111021220111201202100
4223300321300223031
51232214241041011
633330523345313
73252326565600
oct536071605315
9144256451670
1046991346381
1118a24432061
129135382239
13457b648705
1423bad14337
151350691d56
hexaf0e70acd

46991346381 has 72 divisors (see below), whose sum is σ = 80860291200. Its totient is φ = 26210568384.

The previous prime is 46991346371. The next prime is 46991346397. The reversal of 46991346381 is 18364319964.

46991346381 is a `hidden beast` number, since 4 + 6 + 99 + 13 + 463 + 81 = 666.

It is not a de Polignac number, because 46991346381 - 215 = 46991313613 is a prime.

It is a super-2 number, since 2×469913463812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46991346371) 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 71 ways as a sum of consecutive naturals, for example, 4646176 + ... + 4656278.

It is an arithmetic number, because the mean of its divisors is an integer number (1123059600).

Almost surely, 246991346381 is an apocalyptic number.

It is an amenable number.

46991346381 is a deficient number, since it is larger than the sum of its proper divisors (33868944819).

46991346381 is a wasteful number, since it uses less digits than its factorization.

46991346381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10365 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 46991346381 in words is "forty-six billion, nine hundred ninety-one million, three hundred forty-six thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 199 371 441 477 597 1113 1393 1791 2597 3339 4179 7791 9751 10103 10547 12537 23373 29253 30309 31641 70721 73829 87759 90927 94923 212163 221487 495047 516803 535459 636489 664461 1485141 1550409 1606377 2010497 3748213 4455423 4651227 4819131 6031491 11244639 14073479 18094473 26237491 33733917 42220437 78712473 98514353 106556341 126661311 236137419 295543059 319669023 745894387 886629177 959007069 2237683161 5221260709 6713049483 15663782127 46991346381