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155641346560 = 2957371911229
BaseRepresentation
bin1001000011110011110…
…0100111101000000000
3112212201220122121112001
42100330330213220000
510022223141042220
6155300050113344
714146636421530
oct2207474475000
9485656577461
10155641346560
1160009534337
12261b7b7b854
13118a525234b
147766abd4c0
1540adebe80a
hex243cf27a00

155641346560 has 320 divisors, whose sum is σ = 440663224320. Its totient is φ = 51606650880.

The previous prime is 155641346543. The next prime is 155641346563. The reversal of 155641346560 is 65643146551.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 155641346560.

It is not an unprimeable number, because it can be changed into a prime (155641346563) 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, 126640026 + ... + 126641254.

It is an arithmetic number, because the mean of its divisors is an integer number (1377072576).

Almost surely, 2155641346560 is an apocalyptic number.

155641346560 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 155641346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220331612160).

155641346560 is an abundant number, since it is smaller than the sum of its proper divisors (285021877760).

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

155641346560 is a wasteful number, since it uses less digits than its factorization.

155641346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

Subtracting from 155641346560 its reverse (65643146551), we obtain a square (89998200009 = 2999972).

The spelling of 155641346560 in words is "one hundred fifty-five billion, six hundred forty-one million, three hundred forty-six thousand, five hundred sixty".