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148665507664 = 2429211048269
BaseRepresentation
bin1000101001110100100…
…1111001111101010000
3112012201202101021112111
42022131021321331100
54413431332221124
6152143533435104
713512032652022
oct2123511717520
9465652337474
10148665507664
1158059892323
122498b93ba94
1311032c5881b
1472a4452012
153d01879494
hex229d279f50

148665507664 has 30 divisors (see below), whose sum is σ = 298314338270. Its totient is φ = 71769548928.

The previous prime is 148665507611. The next prime is 148665507719. The reversal of 148665507664 is 466705566841.

148665507664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 24755875600 + 123909632064 = 157340^2 + 352008^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 148665507599 and 148665507608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5510679 + ... + 5537590.

Almost surely, 2148665507664 is an apocalyptic number.

It is an amenable number.

148665507664 is an abundant number, since it is smaller than the sum of its proper divisors (149648830606).

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

148665507664 is a wasteful number, since it uses less digits than its factorization.

148665507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048335 (or 11048300 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 148665507664 in words is "one hundred forty-eight billion, six hundred sixty-five million, five hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 11048269 22096538 44193076 88386152 176772304 320399801 640799602 1281599204 2563198408 5126396816 9291594229 18583188458 37166376916 74332753832 148665507664