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148327328430 = 232531163326159
BaseRepresentation
bin1000101000100011111…
…1110110101010101110
3112011212012000222211200
42022020333312222232
54412233244002210
6152050213230330
713500455326521
oct2121077665256
9464765028750
10148327328430
11579a5a01256
12248b66323a6
1310caab80b78
147271580bb8
153cd1d280c0
hex2288ff6aae

148327328430 has 96 divisors (see below), whose sum is σ = 400534917120. Its totient is φ = 38043069120.

The previous prime is 148327328411. The next prime is 148327328459. The reversal of 148327328430 is 34823723841.

148327328430 is a `hidden beast` number, since 1 + 48 + 327 + 3 + 284 + 3 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 291691 + ... + 617849.

It is an arithmetic number, because the mean of its divisors is an integer number (4172238720).

Almost surely, 2148327328430 is an apocalyptic number.

148327328430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148327328430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200267458560).

148327328430 is an abundant number, since it is smaller than the sum of its proper divisors (252207588690).

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

148327328430 is a wasteful number, since it uses less digits than its factorization.

148327328430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326366 (or 326363 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 148327328430 in words is "one hundred forty-eight billion, three hundred twenty-seven million, three hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 163 186 279 310 326 465 489 558 815 930 978 1395 1467 1630 2445 2790 2934 4890 5053 7335 10106 14670 15159 25265 30318 45477 50530 75795 90954 151590 227385 326159 454770 652318 978477 1630795 1956954 2935431 3261590 4892385 5870862 9784770 10110929 14677155 20221858 29354310 30332787 50554645 53163917 60665574 90998361 101109290 106327834 151663935 159491751 181996722 265819585 303327870 318983502 454991805 478475253 531639170 797458755 909983610 956950506 1594917510 1648081427 2392376265 3296162854 4784752530 4944244281 8240407135 9888488562 14832732843 16480814270 24721221405 29665465686 49442442810 74163664215 148327328430