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148169229264 = 24347107152641
BaseRepresentation
bin1000100111111110010…
…0110000001111010000
3112011110011112201120000
42021333210300033100
54411422310314024
6152022404450000
713463525445150
oct2117744601720
9464404481500
10148169229264
1157924737a91
12248716a9900
1310c841a7674
147258588760
153cc2ee8cc9
hex227f9303d0

148169229264 has 200 divisors, whose sum is σ = 494691962688. Its totient is φ = 41938145280.

The previous prime is 148169229259. The next prime is 148169229349. The reversal of 148169229264 is 462922961841.

148169229264 is a `hidden beast` number, since 148 + 16 + 9 + 229 + 264 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 148169229264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 894384 + ... + 1047024.

Almost surely, 2148169229264 is an apocalyptic number.

148169229264 is a gapful number since it is divisible by the number (14) 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 148169229264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247345981344).

148169229264 is an abundant number, since it is smaller than the sum of its proper divisors (346522733424).

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

148169229264 is a wasteful number, since it uses less digits than its factorization.

148169229264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152775 (or 152760 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 148169229264 in words is "one hundred forty-eight billion, one hundred sixty-nine million, two hundred twenty-nine thousand, two hundred sixty-four".