Search a number
-
+
252454858190136 = 233372733109105097
BaseRepresentation
bin111001011001101100111010…
…001001001110110100111000
31020002212110010010120100022000
4321121230322021032310320
5231042210022144041021
62252532054421301000
7104114155505256300
oct7131547211166470
91202773103510260
10252454858190136
117349255aa66838
1224393539264760
13aab3510c90a94
14464ac478ba600
151e2bde470db26
hexe59b3a24ed38

252454858190136 has 384 divisors, whose sum is σ = 827204077224000. Its totient is φ = 71118318587904.

The previous prime is 252454858190131. The next prime is 252454858190263. The reversal of 252454858190136 is 631091858454252.

252454858190136 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 5 + 48 + 581 + 9 + 0 + 1 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252454858190131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402060340 + ... + 2402165436.

Almost surely, 2252454858190136 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 252454858190136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413602038612000).

252454858190136 is an abundant number, since it is smaller than the sum of its proper divisors (574749219033864).

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

252454858190136 is a wasteful number, since it uses less digits than its factorization.

252454858190136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108308 (or 108291 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 252454858190136 in words is "two hundred fifty-two trillion, four hundred fifty-four billion, eight hundred fifty-eight million, one hundred ninety thousand, one hundred thirty-six".