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46321422080 = 28541986369
BaseRepresentation
bin101011001000111110…
…001100111100000000
311102120012221001101012
4223020332030330000
51224331241001310
633140232500052
73226613406533
oct531076147400
9142505831335
1046321422080
111871026500a
128b88b4a628
1344a29098bb
142355d68a1a
151311960c05
hexac8f8cf00

46321422080 has 72 divisors (see below), whose sum is σ = 111220376400. Its totient is φ = 18484133888.

The previous prime is 46321422073. The next prime is 46321422083. The reversal of 46321422080 is 8022412364.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46321422083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493136 + ... + 579504.

It is an arithmetic number, because the mean of its divisors is an integer number (1544727450).

Almost surely, 246321422080 is an apocalyptic number.

46321422080 is a gapful number since it is divisible by the number (40) 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 46321422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55610188200).

46321422080 is an abundant number, since it is smaller than the sum of its proper divisors (64898954320).

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

46321422080 is an equidigital number, since it uses as much as digits as its factorization.

46321422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86809 (or 86795 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 46321422080 in words is "forty-six billion, three hundred twenty-one million, four hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 419 640 838 1280 1676 2095 3352 4190 6704 8380 13408 16760 26816 33520 53632 67040 86369 107264 134080 172738 268160 345476 431845 536320 690952 863690 1381904 1727380 2763808 3454760 5527616 6909520 11055232 13819040 22110464 27638080 36188611 55276160 72377222 110552320 144754444 180943055 289508888 361886110 579017776 723772220 1158035552 1447544440 2316071104 2895088880 4632142208 5790177760 9264284416 11580355520 23160711040 46321422080