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52432097850 = 23552111747491
BaseRepresentation
bin110000110101001100…
…100101001000111010
312000100002020112200000
4300311030211020322
51324340104112400
640030441453430
73534213323016
oct606514451072
9160302215600
1052432097850
1120266609180
12a1b34a1276
134c378b6492
142775747546
15156d15b600
hexc3532523a

52432097850 has 576 divisors, whose sum is σ = 172680947712. Its totient is φ = 11684736000.

The previous prime is 52432097849. The next prime is 52432097869. The reversal of 52432097850 is 5879023425.

52432097850 is a `hidden beast` number, since 52 + 432 + 0 + 97 + 85 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52432097796 and 52432097805.

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, 106786105 + ... + 106786595.

It is an arithmetic number, because the mean of its divisors is an integer number (299793312).

Almost surely, 252432097850 is an apocalyptic number.

52432097850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52432097850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86340473856).

52432097850 is an abundant number, since it is smaller than the sum of its proper divisors (120248849862).

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

52432097850 is a wasteful number, since it uses less digits than its factorization.

52432097850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 524320 and 97850, that added together give a triangular number (622170 = T1115).

The spelling of 52432097850 in words is "fifty-two billion, four hundred thirty-two million, ninety-seven thousand, eight hundred fifty".