Search a number
-
+
49426808591160 = 2332571113292315261
BaseRepresentation
bin10110011110100000100110…
…10111100101001100111000
320111000011020021101202010100
423033100103113211030320
522434302100444404120
6253042210140115400
713260653252013030
oct1317202327451470
9214004207352110
1049426808591160
1114826878993960
1256632b6235b60
132176c0ac09580
14c2c3ad9bc8c0
155aaa88668490
hex2cf4135e5338

49426808591160 has 2304 divisors, whose sum is σ = 230623791390720. Its totient is φ = 8856594432000.

The previous prime is 49426808591123. The next prime is 49426808591197. The reversal of 49426808591160 is 6119580862494.

49426808591160 is a `hidden beast` number, since 4 + 9 + 4 + 26 + 8 + 0 + 8 + 591 + 16 + 0 = 666.

49426808591160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49426808591123) and next prime (49426808591197).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9394942930 + ... + 9394948190.

It is an arithmetic number, because the mean of its divisors is an integer number (100097131680).

Almost surely, 249426808591160 is an apocalyptic number.

49426808591160 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 49426808591160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115311895695360).

49426808591160 is an abundant number, since it is smaller than the sum of its proper divisors (181196982799560).

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

49426808591160 is a wasteful number, since it uses less digits than its factorization.

49426808591160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 49426808591160 in words is "forty-nine trillion, four hundred twenty-six billion, eight hundred eight million, five hundred ninety-one thousand, one hundred sixty".