Search a number
-
+
61402245135 = 357113141151277
BaseRepresentation
bin111001001011110110…
…111110100000001111
312212111020011020110020
4321023312332200033
52001222433321020
644112515113223
74302414320640
oct711366764017
9185436136406
1061402245135
1124049a6a640
12ba975a2813
135a3711383a
142d86bcb6c7
1518e58dcc40
hexe4bdbe80f

61402245135 has 256 divisors, whose sum is σ = 130848915456. Its totient is φ = 23846400000.

The previous prime is 61402245101. The next prime is 61402245137. The reversal of 61402245135 is 53154220416.

It is not a de Polignac number, because 61402245135 - 29 = 61402244623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 61402245096 and 61402245105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61402245137) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 221668617 + ... + 221668893.

It is an arithmetic number, because the mean of its divisors is an integer number (511128576).

Almost surely, 261402245135 is an apocalyptic number.

61402245135 is an abundant number, since it is smaller than the sum of its proper divisors (69446670321).

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

61402245135 is a wasteful number, since it uses less digits than its factorization.

61402245135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 61402245135 in words is "sixty-one billion, four hundred two million, two hundred forty-five thousand, one hundred thirty-five".