Search a number
-
+
147852898272 = 253219109247889
BaseRepresentation
bin1000100110110010111…
…0000010111111100000
3112010122010022110000100
42021230232002333200
54410300320221042
6151531144422400
713452634620312
oct2115456027740
9463563273010
10147852898272
1157782119912
12247a3777a00
1310c337ac471
1472285637b2
153ca536124c
hex226cb82fe0

147852898272 has 144 divisors (see below), whose sum is σ = 446648202000. Its totient is φ = 46261850112.

The previous prime is 147852898159. The next prime is 147852898273. The reversal of 147852898272 is 272898258741.

147852898272 is a `hidden beast` number, since 1 + 4 + 7 + 85 + 289 + 8 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147852898273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472504 + ... + 720392.

It is an arithmetic number, because the mean of its divisors is an integer number (3101723625).

Almost surely, 2147852898272 is an apocalyptic number.

147852898272 is a gapful number since it is divisible by the number (12) 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 147852898272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223324101000).

147852898272 is an abundant number, since it is smaller than the sum of its proper divisors (298795303728).

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

147852898272 is a wasteful number, since it uses less digits than its factorization.

147852898272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248033 (or 248022 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 147852898272 in words is "one hundred forty-seven billion, eight hundred fifty-two million, eight hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 109 114 144 152 171 218 228 288 304 327 342 436 456 608 654 684 872 912 981 1308 1368 1744 1824 1962 2071 2616 2736 3488 3924 4142 5232 5472 6213 7848 8284 10464 12426 15696 16568 18639 24852 31392 33136 37278 49704 66272 74556 99408 149112 198816 247889 298224 495778 596448 743667 991556 1487334 1983112 2231001 2974668 3966224 4462002 4709891 5949336 7932448 8924004 9419782 11898672 14129673 17848008 18839564 23797344 27019901 28259346 35696016 37679128 42389019 54039802 56518692 71392032 75358256 81059703 84778038 108079604 113037384 150716512 162119406 169556076 216159208 226074768 243179109 324238812 339112152 432318416 452149536 486358218 513378119 648477624 678224304 864636832 972716436 1026756238 1296955248 1356448608 1540134357 1945432872 2053512476 2593910496 3080268714 3890865744 4107024952 4620403071 6160537428 7781731488 8214049904 9240806142 12321074856 16428099808 18481612284 24642149712 36963224568 49284299424 73926449136 147852898272