Search a number
-
+
53239239720576 = 273271333125359
BaseRepresentation
bin11000001101011101110011…
…11110001011111010000000
320222111121210011011120021200
430012232321332023322000
523434232430332024301
6305121434042221200
714133256663642020
oct1406567176137200
9228447704146250
1053239239720576
1115a666a89728a8
125b7a1557b4800
132392591c6b000
14d20b15c03a80
15624d1c6d1c86
hex306bb9f8be80

53239239720576 has 2304 divisors, whose sum is σ = 203069516832000. Its totient is φ = 13105835458560.

The previous prime is 53239239720547. The next prime is 53239239720593. The reversal of 53239239720576 is 67502793293235.

53239239720576 is a `hidden beast` number, since 5 + 3 + 2 + 3 + 9 + 2 + 39 + 7 + 20 + 576 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 902359995235 + ... + 902359995293.

It is an arithmetic number, because the mean of its divisors is an integer number (88137811125).

Almost surely, 253239239720576 is an apocalyptic number.

53239239720576 is a gapful number since it is divisible by the number (56) 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 53239239720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101534758416000).

53239239720576 is an abundant number, since it is smaller than the sum of its proper divisors (149830277111424).

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

53239239720576 is a wasteful number, since it uses less digits than its factorization.

53239239720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 63.

The spelling of 53239239720576 in words is "fifty-three trillion, two hundred thirty-nine billion, two hundred thirty-nine million, seven hundred twenty thousand, five hundred seventy-six".