Search a number
-
+
53532198720 = 263257111331599
BaseRepresentation
bin110001110110110001…
…001000011101000000
312010011202021110100200
4301312301020131000
51334113220324340
640331540445200
73603402116130
oct616661103500
9163152243320
1053532198720
1120780592250
12a45b9a9800
1350817a1040
14283b8b0ac0
1515d4a12330
hexc76c48740

53532198720 has 1344 divisors, whose sum is σ = 255622348800. Its totient is φ = 9920102400.

The previous prime is 53532198691. The next prime is 53532198749. The reversal of 53532198720 is 2789123535.

53532198720 is a `hidden beast` number, since 5 + 3 + 532 + 1 + 98 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (53532198691) and next prime (53532198749).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89368981 + ... + 89369579.

It is an arithmetic number, because the mean of its divisors is an integer number (190195200).

Almost surely, 253532198720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53532198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127811174400).

53532198720 is an abundant number, since it is smaller than the sum of its proper divisors (202090150080).

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

53532198720 is a wasteful number, since it uses less digits than its factorization.

53532198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 53532 and 198720, that added together give a palindrome (252252).

The spelling of 53532198720 in words is "fifty-three billion, five hundred thirty-two million, one hundred ninety-eight thousand, seven hundred twenty".