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49143542415552 = 2636132311071879
BaseRepresentation
bin10110010110010000111110…
…11000111000000011000000
320110000002001222010002000000
423023020133120320003000
522420131433324244202
6252304122015000000
713231334536156404
oct1313103730700300
9213002058102000
1049143542415552
11147277285845a2
125618420b09000
1321562a6bb6c00
14c1c7bb06d104
155a350a10491c
hex2cb21f6380c0

49143542415552 has 1176 divisors, whose sum is σ = 165046589936640. Its totient is φ = 14488837908480.

The previous prime is 49143542415551. The next prime is 49143542415557. The reversal of 49143542415552 is 25551424534194.

49143542415552 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 3 + 5 + 42 + 41 + 5 + 552 = 666.

It is a super-2 number, since 2×491435424155522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49143542415551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 26154092949 + ... + 26154094827.

Almost surely, 249143542415552 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 49143542415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82523294968320).

49143542415552 is an abundant number, since it is smaller than the sum of its proper divisors (115903047521088).

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

49143542415552 is a wasteful number, since it uses less digits than its factorization.

49143542415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2035 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 49143542415552 in words is "forty-nine trillion, one hundred forty-three billion, five hundred forty-two million, four hundred fifteen thousand, five hundred fifty-two".