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154136011053312 = 28323713011389769
BaseRepresentation
bin100011000010111110010110…
…001011111001100100000000
3202012202020222121221212221200
4203002332112023321210000
5130200331022312201222
61303453034515021200
744315650020506601
oct4302762613714400
9665666877855850
10154136011053312
1145126795a16312
121535471229a800
136800c6a9a5042
142a0c3192adda8
1512c4670d1aeac
hex8c2f962f9900

154136011053312 has 216 divisors, whose sum is σ = 456774410634360. Its totient is φ = 49951597363200.

The previous prime is 154136011053301. The next prime is 154136011053341. The reversal of 154136011053312 is 213350110631451.

154136011053312 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 3 + 6 + 0 + 110 + 533 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96536975616 + 154039474077696 = 310704^2 + 12411264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110212764 + ... + 111602532.

Almost surely, 2154136011053312 is an apocalyptic number.

154136011053312 is a gapful number since it is divisible by the number (12) 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 154136011053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228387205317180).

154136011053312 is an abundant number, since it is smaller than the sum of its proper divisors (302638399581048).

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

154136011053312 is a wasteful number, since it uses less digits than its factorization.

154136011053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391129 (or 1391112 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 154136011053312 its reverse (213350110631451), we get a palindrome (367486121684763).

The spelling of 154136011053312 in words is "one hundred fifty-four trillion, one hundred thirty-six billion, eleven million, fifty-three thousand, three hundred twelve".