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148046413824 = 216341672
BaseRepresentation
bin1000100111100001000…
…0010000000000000000
3112011010121110001110000
42021320100100000000
54411144340220244
6152002300240000
713460504516511
oct2117020200000
9464117401400
10148046413824
1157871382a21
1224838540000
1310c649060ca
147246138a08
153cb7339169
hex2278410000

148046413824 has 255 divisors, whose sum is σ = 444972544687. Its totient is φ = 49053302784.

The previous prime is 148046413819. The next prime is 148046413829. The reversal of 148046413824 is 428314640841.

The square root of 148046413824 is 384768.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (148046413819) and next prime (148046413829).

It is a super-2 number, since 2×1480464138242 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 148046413824.

It is not an unprimeable number, because it can be changed into a prime (148046413829) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 886505389 + ... + 886505555.

Almost surely, 2148046413824 is an apocalyptic number.

148046413824 is the 384768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148046413824

148046413824 is an abundant number, since it is smaller than the sum of its proper divisors (296926130863).

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

148046413824 is an frugal number, since it uses more digits than its factorization.

148046413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

148046413824 divided by its product of nonzero digits (589824) gives a square (251001 = 5012).

The spelling of 148046413824 in words is "one hundred forty-eight billion, forty-six million, four hundred thirteen thousand, eight hundred twenty-four".