Search a number
-
+
55131551040 = 2635377432089
BaseRepresentation
bin110011010110000110…
…001011010101000000
312021022012201222021210
4303112012023111000
51400402134113130
641154352250120
73661132310646
oct632606132500
9167265658253
1055131551040
1121421361325
12a827540940
135277c3b067
142950077196
15167a1345b0
hexcd618b540

55131551040 has 224 divisors, whose sum is σ = 180101687040. Its totient is φ = 14278311936.

The previous prime is 55131551017. The next prime is 55131551047. The reversal of 55131551040 is 4015513155.

It is a super-2 number, since 2×551315510402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55131550989 and 55131551007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55131551047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26390316 + ... + 26392404.

Almost surely, 255131551040 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 55131551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90050843520).

55131551040 is an abundant number, since it is smaller than the sum of its proper divisors (124970136000).

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

55131551040 is a wasteful number, since it uses less digits than its factorization.

55131551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 55131551040 in words is "fifty-five billion, one hundred thirty-one million, five hundred fifty-one thousand, forty".