Search a number
-
+
49779319183776 = 2534713211043783
BaseRepresentation
bin10110101000110001001101…
…01000110001100110100000
320112020212010100021021010000
423110120212220301212200
523011041021202340101
6253512145321340000
713325302635425220
oct1324304650614640
9215225110237100
1049779319183776
1114952321a31636
1256bb695337600
1321a1228975850
14c41490a5c080
155b4d1acdb486
hex2d4626a319a0

49779319183776 has 240 divisors, whose sum is σ = 180184117728384. Its totient is φ = 13128611590656.

The previous prime is 49779319183771. The next prime is 49779319183817. The reversal of 49779319183776 is 67738191397794.

49779319183776 is a `hidden beast` number, since 4 + 9 + 77 + 93 + 1 + 91 + 8 + 377 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49779319183695 and 49779319183704.

It is not an unprimeable number, because it can be changed into a prime (49779319183771) 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 39 ways as a sum of consecutive naturals, for example, 105286020 + ... + 105757763.

Almost surely, 249779319183776 is an apocalyptic number.

It is an amenable number.

49779319183776 is an abundant number, since it is smaller than the sum of its proper divisors (130404798544608).

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

49779319183776 is a wasteful number, since it uses less digits than its factorization.

49779319183776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211043825 (or 211043808 counting only the distinct ones).

The product of its digits is 3024568512, while the sum is 81.

The spelling of 49779319183776 in words is "forty-nine trillion, seven hundred seventy-nine billion, three hundred nineteen million, one hundred eighty-three thousand, seven hundred seventy-six".