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148344463680 = 26357312273137
BaseRepresentation
bin1000101000101000000…
…1001110000101000000
3112011220101021112222120
42022022001032011000
54412302140314210
6152052024404240
713501054064520
oct2121201160500
9464811245876
10148344463680
1157a04645216
1224900316680
1310cb15a037a
147273961680
153cd35b0270
hex228a04e140

148344463680 has 448 divisors, whose sum is σ = 558267973632. Its totient is φ = 32658554880.

The previous prime is 148344463643. The next prime is 148344463697. The reversal of 148344463680 is 86364443841.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47287072 + ... + 47290208.

Almost surely, 2148344463680 is an apocalyptic number.

148344463680 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 148344463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279133986816).

148344463680 is an abundant number, since it is smaller than the sum of its proper divisors (409923509952).

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

148344463680 is a wasteful number, since it uses less digits than its factorization.

148344463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 148344463680 in words is "one hundred forty-eight billion, three hundred forty-four million, four hundred sixty-three thousand, six hundred eighty".