Search a number
-
+
464635420117376 = 277945948914173
BaseRepresentation
bin110100110100101010101110…
…1001010101000100110000000
32020221010201020022101210011112
41221221111131022220212000
5441400041320022224001
64324110322033502452
7166603541565645434
oct15151253512504600
92227121208353145
10464635420117376
111250578586aa342
124414155a111a28
1316c34c16b0c0b1
1482a468d7909c4
1538ab3783c3cbb
hex1a6955d2a8980

464635420117376 has 32 divisors (see below), whose sum is σ = 937357849149600. Its totient is φ = 229376979546624.

The previous prime is 464635420117373. The next prime is 464635420117409. The reversal of 464635420117376 is 673711024536464.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464635420117373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22974446975 + ... + 22974467198.

It is an arithmetic number, because the mean of its divisors is an integer number (29292432785925).

Almost surely, 2464635420117376 is an apocalyptic number.

It is an amenable number.

464635420117376 is an abundant number, since it is smaller than the sum of its proper divisors (472722429032224).

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

464635420117376 is an equidigital number, since it uses as much as digits as its factorization.

464635420117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45948914266 (or 45948914254 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 59.

The spelling of 464635420117376 in words is "four hundred sixty-four trillion, six hundred thirty-five billion, four hundred twenty million, one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 45948914173 91897828346 183795656692 367591313384 735182626768 1470365253536 2940730507072 3629964219667 5881461014144 7259928439334 14519856878668 29039713757336 58079427514672 116158855029344 232317710058688 464635420117376