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46321301088 = 253369177587
BaseRepresentation
bin101011001000111101…
…101111011001100000
311102120012200220102000
4223020331233121200
51224331223113323
633140230124000
73226612364016
oct531075573140
9142505626360
1046321301088
1118710192117
128b88ab0600
1344a28967ca
142355d368b6
151311939e43
hexac8f6f660

46321301088 has 96 divisors (see below), whose sum is σ = 135301057920. Its totient is φ = 15417889920.

The previous prime is 46321301087. The next prime is 46321301093. The reversal of 46321301088 is 88010312364.

46321301088 is a `hidden beast` number, since 4 + 632 + 1 + 3 + 0 + 10 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46321301087) 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, 558231 + ... + 635817.

It is an arithmetic number, because the mean of its divisors is an integer number (1409386020).

Almost surely, 246321301088 is an apocalyptic number.

46321301088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46321301088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67650528960).

46321301088 is an abundant number, since it is smaller than the sum of its proper divisors (88979756832).

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

46321301088 is a wasteful number, since it uses less digits than its factorization.

46321301088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78297 (or 78283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 46321301088 in words is "forty-six billion, three hundred twenty-one million, three hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 691 864 1382 2073 2764 4146 5528 6219 8292 11056 12438 16584 18657 22112 24876 33168 37314 49752 66336 74628 77587 99504 149256 155174 199008 232761 298512 310348 465522 597024 620696 698283 931044 1241392 1396566 1862088 2094849 2482784 2793132 3724176 4189698 5586264 7448352 8379396 11172528 16758792 22345056 33517584 53612617 67035168 107225234 160837851 214450468 321675702 428900936 482513553 643351404 857801872 965027106 1286702808 1447540659 1715603744 1930054212 2573405616 2895081318 3860108424 5146811232 5790162636 7720216848 11580325272 15440433696 23160650544 46321301088