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41513028480 = 27325711267127
BaseRepresentation
bin100110101010010111…
…101000101110000000
310222011010002100101100
4212222113220232000
51140004313402410
631023144134400
72666505630360
oct465227505600
9128133070340
1041513028480
1116673027800
128066767400
133bb76869a1
14201b5029a0
15112e7568c0
hex9aa5e8b80

41513028480 has 1152 divisors, whose sum is σ = 184202403840. Its totient is φ = 8430428160.

The previous prime is 41513028461. The next prime is 41513028499. The reversal of 41513028480 is 8482031514.

41513028480 is a `hidden beast` number, since 4 + 151 + 3 + 0 + 28 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (41513028461) and next prime (41513028499).

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

It is a super-2 number, since 2×415130284802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 326874177 + ... + 326874303.

It is an arithmetic number, because the mean of its divisors is an integer number (159897920).

Almost surely, 241513028480 is an apocalyptic number.

41513028480 is a gapful number since it is divisible by the number (40) 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 41513028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92101201920).

41513028480 is an abundant number, since it is smaller than the sum of its proper divisors (142689375360).

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

41513028480 is a wasteful number, since it uses less digits than its factorization.

41513028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 41513028480 its reverse (8482031514), we get a palindrome (49995059994).

The spelling of 41513028480 in words is "forty-one billion, five hundred thirteen million, twenty-eight thousand, four hundred eighty".