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148621092480 = 27325722771901
BaseRepresentation
bin1000101001101010000…
…0011110011010000000
3112012121122210202100200
42022122200132122000
54413333444424410
6152135305445200
713510653304500
oct2123240363200
9465548722320
10148621092480
1158036806563
1224978aa0800
13110269a7453
14729c5ada00
153ceca043c0
hex229a81e680

148621092480 has 576 divisors, whose sum is σ = 599466539880. Its totient is φ = 33830092800.

The previous prime is 148621092461. The next prime is 148621092509. The reversal of 148621092480 is 84290126841.

148621092480 is a `hidden beast` number, since 1 + 4 + 8 + 62 + 109 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59095665216 + 89525427264 = 243096^2 + 299208^2 .

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78179530 + ... + 78181430.

Almost surely, 2148621092480 is an apocalyptic number.

148621092480 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 148621092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299733269940).

148621092480 is an abundant number, since it is smaller than the sum of its proper divisors (450845447400).

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

148621092480 is a wasteful number, since it uses less digits than its factorization.

148621092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 148621092480 in words is "one hundred forty-eight billion, six hundred twenty-one million, ninety-two thousand, four hundred eighty".