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148649402880 = 29335111931013
BaseRepresentation
bin1000101001110000110…
…0011110001000000000
3112012200122002001221000
42022130030132020000
54413413221343010
6152142200332000
713511446035216
oct2123414361000
9465618061830
10148649402880
1158050792590
1224986474000
131102c80a374
1472a225ccb6
153d002477c0
hex229c31e200

148649402880 has 640 divisors, whose sum is σ = 579572547840. Its totient is φ = 35814113280.

The previous prime is 148649402879. The next prime is 148649402897. The reversal of 148649402880 is 88204946841.

It is a happy number.

148649402880 is a `hidden beast` number, since 1 + 486 + 49 + 40 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146741254 + ... + 146742266.

It is an arithmetic number, because the mean of its divisors is an integer number (905582106).

Almost surely, 2148649402880 is an apocalyptic number.

148649402880 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 148649402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289786273920).

148649402880 is an abundant number, since it is smaller than the sum of its proper divisors (430923144960).

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

148649402880 is a wasteful number, since it uses less digits than its factorization.

148649402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 148649402880 in words is "one hundred forty-eight billion, six hundred forty-nine million, four hundred two thousand, eight hundred eighty".