Search a number
-
+
155628539136 = 28337193143127
BaseRepresentation
bin1001000011110000101…
…1110000110100000000
3112212201000112221001000
42100330023300310000
510022211401223021
6155254511412000
714146422520230
oct2207413606400
9485630487030
10155628539136
1160002286994
12261b3824000
13118a26b99a5
147765107cc0
1540accdeb26
hex243c2f0d00

155628539136 has 1152 divisors, whose sum is σ = 589404569600. Its totient is φ = 39504568320.

The previous prime is 155628539089. The next prime is 155628539137. The reversal of 155628539136 is 631935826551.

155628539136 is a `hidden beast` number, since 1 + 5 + 5 + 628 + 5 + 3 + 9 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (155628539137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1225421505 + ... + 1225421631.

Almost surely, 2155628539136 is an apocalyptic number.

155628539136 is a gapful number since it is divisible by the number (16) 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 155628539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294702284800).

155628539136 is an abundant number, since it is smaller than the sum of its proper divisors (433776030464).

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

155628539136 is a wasteful number, since it uses less digits than its factorization.

155628539136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 155628539136 in words is "one hundred fifty-five billion, six hundred twenty-eight million, five hundred thirty-nine thousand, one hundred thirty-six".