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148388964864 = 293726715167
BaseRepresentation
bin1000101000110010101…
…0111110101000000000
3112012000111000110010120
42022030222332220000
54412400033333424
6152100254300240
713502134250550
oct2121452765000
9465014013116
10148388964864
1157a2777a658
12249131b7680
1310cba88192a
147279827160
153cd7450a79
hex228cabea00

148388964864 has 160 divisors (see below), whose sum is σ = 452048019456. Its totient is φ = 42372771840.

The previous prime is 148388964827. The next prime is 148388964869. The reversal of 148388964864 is 468469883841.

It is not an unprimeable number, because it can be changed into a prime (148388964869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28716009 + ... + 28721175.

Almost surely, 2148388964864 is an apocalyptic number.

148388964864 is a gapful number since it is divisible by the number (14) 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 148388964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226024009728).

148388964864 is an abundant number, since it is smaller than the sum of its proper divisors (303659054592).

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

148388964864 is an equidigital number, since it uses as much as digits as its factorization.

148388964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 7850 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 69.

The spelling of 148388964864 in words is "one hundred forty-eight billion, three hundred eighty-eight million, nine hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2671 2688 3584 5167 5342 5376 8013 10334 10684 10752 15501 16026 18697 20668 21368 31002 32052 36169 37394 41336 42736 56091 62004 64104 72338 74788 82672 85472 108507 112182 124008 128208 144676 149576 165344 170944 217014 224364 248016 256416 289352 299152 330688 341888 434028 448728 496032 512832 578704 598304 661376 683776 868056 897456 992064 1025664 1157408 1196608 1322752 1367552 1736112 1794912 1984128 2051328 2314816 2393216 2645504 3472224 3589824 3968256 4102656 4629632 4786432 6944448 7179648 7936512 9259264 9572864 13801057 13888896 14359296 18518528 27602114 27777792 28718592 41403171 55204228 55555584 82806342 96607399 110408456 165612684 193214798 220816912 289822197 331225368 386429596 441633824 579644394 662450736 772859192 883267648 1159288788 1324901472 1545718384 1766535296 2318577576 2649802944 3091436768 3533070592 4637155152 5299605888 6182873536 7066141184 9274310304 10599211776 12365747072 18548620608 21198423552 24731494144 37097241216 49462988288 74194482432 148388964864