Search a number
-
+
46353350797 = 1321122832
BaseRepresentation
bin101011001010111000…
…000000000010001101
311102122110000012100021
4223022320000002031
51224412424211142
633143333102141
73230451660265
oct531270000215
9142573005307
1046353350797
1118727292586
128b97787951
1344a9408730
14235a2ba7a5
15131466b267
hexacae0008d

46353350797 has 18 divisors (see below), whose sum is σ = 50334555726. Its totient is φ = 42434446320.

The previous prime is 46353350777. The next prime is 46353350801. The reversal of 46353350797 is 79705335364.

It can be written as a sum of positive squares in only one way, i.e., 32090781321 + 14262569476 = 179139^2 + 119426^2 .

It is not a de Polignac number, because 46353350797 - 211 = 46353348749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46353350707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163792618 + ... + 163792900.

It is an arithmetic number, because the mean of its divisors is an integer number (2796364207).

Almost surely, 246353350797 is an apocalyptic number.

It is an amenable number.

46353350797 is a deficient number, since it is larger than the sum of its proper divisors (3981204929).

46353350797 is an frugal number, since it uses more digits than its factorization.

46353350797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 52.

Multiplying 46353350797 by its sum of digits (52), we get a square (2410374241444 = 15525382).

The spelling of 46353350797 in words is "forty-six billion, three hundred fifty-three million, three hundred fifty thousand, seven hundred ninety-seven".

Divisors: 1 13 211 283 2743 3679 44521 59713 80089 578773 776269 1041157 12599443 16898779 163792759 219684127 3565642369 46353350797