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46228350640 = 2458343915859
BaseRepresentation
bin101011000011011011…
…001010011010110000
311102022201210112100211
4223003123022122300
51224133424210030
633123105553504
73224403332323
oct530333123260
9142281715324
1046228350640
111867277606a
128b61945894
134489550944
14234785c7ba
1513086c912a
hexac36ca6b0

46228350640 has 80 divisors (see below), whose sum is σ = 109030521600. Its totient is φ = 18225789696.

The previous prime is 46228350611. The next prime is 46228350659. The reversal of 46228350640 is 4605382264.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46228350593 and 46228350602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2907031 + ... + 2922889.

It is an arithmetic number, because the mean of its divisors is an integer number (1362881520).

Almost surely, 246228350640 is an apocalyptic number.

46228350640 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 46228350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54515260800).

46228350640 is an abundant number, since it is smaller than the sum of its proper divisors (62802170960).

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

46228350640 is a wasteful number, since it uses less digits than its factorization.

46228350640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 46228350640 in words is "forty-six billion, two hundred twenty-eight million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 439 664 830 878 1328 1660 1756 2195 3320 3512 4390 6640 7024 8780 15859 17560 31718 35120 36437 63436 72874 79295 126872 145748 158590 182185 253744 291496 317180 364370 582992 634360 728740 1268720 1316297 1457480 2632594 2914960 5265188 6581485 6962101 10530376 13162970 13924202 21060752 26325940 27848404 34810505 52651880 55696808 69621010 105303760 111393616 139242020 278484040 556968080 577854383 1155708766 2311417532 2889271915 4622835064 5778543830 9245670128 11557087660 23114175320 46228350640