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148469518080 = 28335132771193
BaseRepresentation
bin1000101001000101111…
…0010000111100000000
3112012020002120222101000
42022101132100330000
54413031144034310
6152112253012000
713504133036562
oct2122136207400
9465202528330
10148469518080
1157a69199464
1224936184000
1311001476a60
1472863d5332
153cde5634c0
hex2291790f00

148469518080 has 576 divisors, whose sum is σ = 569913966720. Its totient is φ = 36383883264.

The previous prime is 148469518073. The next prime is 148469518081. The reversal of 148469518080 is 80815964841.

It is a happy number.

148469518080 is a `hidden beast` number, since 1 + 4 + 8 + 46 + 9 + 518 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (148469518081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124449964 + ... + 124451156.

It is an arithmetic number, because the mean of its divisors is an integer number (989433970).

Almost surely, 2148469518080 is an apocalyptic number.

148469518080 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 148469518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284956983360).

148469518080 is an abundant number, since it is smaller than the sum of its proper divisors (421444448640).

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

148469518080 is a wasteful number, since it uses less digits than its factorization.

148469518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 148469518080 in words is "one hundred forty-eight billion, four hundred sixty-nine million, five hundred eighteen thousand, eighty".