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148080729264 = 243133741311503
BaseRepresentation
bin1000100111101001001…
…1001001110010110000
3112011020000000110101020
42021322103021302300
54411232131314024
6152005523535440
713461402300516
oct2117223116260
9464200013336
10148080729264
1157889790696
1224847b2a580
1310c6ba5c3c0
14724a90c4b6
153cba366979
hex227a4c9cb0

148080729264 has 320 divisors, whose sum is σ = 435680114688. Its totient is φ = 43025817600.

The previous prime is 148080729241. The next prime is 148080729283. The reversal of 148080729264 is 462927080841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294394837 + ... + 294395339.

Almost surely, 2148080729264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148080729264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217840057344).

148080729264 is an abundant number, since it is smaller than the sum of its proper divisors (287599385424).

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

148080729264 is a wasteful number, since it uses less digits than its factorization.

148080729264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 148080729264 in words is "one hundred forty-eight billion, eighty million, seven hundred twenty-nine thousand, two hundred sixty-four".