Search a number
-
+
155015640000 = 2633541361181
BaseRepresentation
bin1001000001011110100…
…1101111001111000000
3112211010022021102111000
42100113221233033000
510014433000440000
6155114015052000
714125301125254
oct2202751571700
9484108242430
10155015640000
115a818318781
1226062511000
1311805725a90
147707964264
1540740c5000
hex2417a6f3c0

155015640000 has 1120 divisors, whose sum is σ = 626766620480. Its totient is φ = 37324800000.

The previous prime is 155015639981. The next prime is 155015640001. The reversal of 155015640000 is 46510551.

It is a happy number.

155015640000 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 15 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155015640001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 856439910 + ... + 856440090.

It is an arithmetic number, because the mean of its divisors is an integer number (559613054).

Almost surely, 2155015640000 is an apocalyptic number.

155015640000 is a gapful number since it is divisible by the number (10) 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 155015640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313383310240).

155015640000 is an abundant number, since it is smaller than the sum of its proper divisors (471750980480).

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

155015640000 is a wasteful number, since it uses less digits than its factorization.

155015640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 155015640000 in words is "one hundred fifty-five billion, fifteen million, six hundred forty thousand".