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148466453400 = 233252157525359
BaseRepresentation
bin1000101001000101001…
…0100100101110011000
3112012012212211021102100
42022101102210232120
54413024403002100
6152112103203400
713504065013626
oct2122122445630
9465185737370
10148466453400
1157a67495971
1224935146560
1311000942b35
147285c38516
153cde15a400
hex22914a4b98

148466453400 has 144 divisors (see below), whose sum is σ = 501776589600. Its totient is φ = 39338807040.

The previous prime is 148466453389. The next prime is 148466453411. The reversal of 148466453400 is 4354664841.

148466453400 is a `hidden beast` number, since 14 + 8 + 46 + 64 + 534 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148466453389) and next prime (148466453411).

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 35 ways as a sum of consecutive naturals, for example, 19921 + ... + 545279.

It is an arithmetic number, because the mean of its divisors is an integer number (3484559650).

Almost surely, 2148466453400 is an apocalyptic number.

148466453400 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 148466453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250888294800).

148466453400 is an abundant number, since it is smaller than the sum of its proper divisors (353310136200).

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

148466453400 is a wasteful number, since it uses less digits than its factorization.

148466453400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525538 (or 525526 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 148466453400 in words is "one hundred forty-eight billion, four hundred sixty-six million, four hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 157 180 200 225 300 314 360 450 471 600 628 785 900 942 1256 1413 1570 1800 1884 2355 2826 3140 3768 3925 4710 5652 6280 7065 7850 9420 11304 11775 14130 15700 18840 23550 28260 31400 35325 47100 56520 70650 94200 141300 282600 525359 1050718 1576077 2101436 2626795 3152154 4202872 4728231 5253590 6304308 7880385 9456462 10507180 12608616 13133975 15760770 18912924 21014360 23641155 26267950 31521540 37825848 39401925 47282310 52535900 63043080 78803850 82481363 94564620 105071800 118205775 157607700 164962726 189129240 236411550 247444089 315215400 329925452 412406815 472823100 494888178 659850904 742332267 824813630 945646200 989776356 1237220445 1484664534 1649627260 1979552712 2062034075 2474440890 2969329068 3299254520 3711661335 4124068150 4948881780 5938658136 6186102225 7423322670 8248136300 9897763560 12372204450 14846645340 16496272600 18558306675 24744408900 29693290680 37116613350 49488817800 74233226700 148466453400