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155482752960 = 263752947163
BaseRepresentation
bin1001000011001101111…
…1101000011111000000
3112212022212020020000000
42100303133220133000
510021412041043320
6155232223000000
714143002410523
oct2206337503700
9485285206000
10155482752960
115aa37a62647
1226172a39000
131187b434a92
14774d9d8bba
1540a00e3c90
hex24337e87c0

155482752960 has 896 divisors, whose sum is σ = 590248857600. Its totient is φ = 38940217344.

The previous prime is 155482752907. The next prime is 155482752977. The reversal of 155482752960 is 69257284551.

155482752960 is a `hidden beast` number, since 1 + 5 + 5 + 482 + 75 + 2 + 96 + 0 = 666.

It is a super-3 number, since 3×1554827529603 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 155482752897 and 155482752906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 953881839 + ... + 953882001.

Almost surely, 2155482752960 is an apocalyptic number.

155482752960 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 155482752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295124428800).

155482752960 is an abundant number, since it is smaller than the sum of its proper divisors (434766104640).

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

155482752960 is an equidigital number, since it uses as much as digits as its factorization.

155482752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 155482752960 in words is "one hundred fifty-five billion, four hundred eighty-two million, seven hundred fifty-two thousand, nine hundred sixty".