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153143925984 = 25327711069919
BaseRepresentation
bin1000111010100000010…
…1101101110011100000
3112122021212022111112200
42032220011231303200
510002114321112414
6154204153453200
714031022615140
oct2165005556340
9478255274480
10153143925984
1159a47832295
122581b711200
1311597a16caa
1475ab140920
153eb4b03109
hex23a816dce0

153143925984 has 144 divisors (see below), whose sum is σ = 504728340480. Its totient is φ = 43139093760.

The previous prime is 153143925959. The next prime is 153143926009. The reversal of 153143925984 is 489529341351.

153143925984 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 43 + 9 + 2 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (153143925959) and next prime (153143926009).

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

It is a self number, because there is not a number n which added to its sum of digits gives 153143925984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391824 + ... + 678095.

It is an arithmetic number, because the mean of its divisors is an integer number (3505057920).

Almost surely, 2153143925984 is an apocalyptic number.

153143925984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

153143925984 is an abundant number, since it is smaller than the sum of its proper divisors (351584414496).

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

153143925984 is a wasteful number, since it uses less digits than its factorization.

153143925984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070013 (or 1070002 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 153143925984 in words is "one hundred fifty-three billion, one hundred forty-three million, nine hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 672 852 994 1008 1136 1278 1491 1704 1988 2016 2272 2556 2982 3408 3976 4473 5112 5964 6816 7952 8946 10224 11928 15904 17892 20448 23856 35784 47712 71568 143136 1069919 2139838 3209757 4279676 6419514 7489433 8559352 9629271 12839028 14978866 17118704 19258542 22468299 25678056 29957732 34237408 38517084 44936598 51356112 59915464 67404897 75964249 77034168 89873196 102712224 119830928 134809794 151928498 154068336 179746392 227892747 239661856 269619588 303856996 308136672 359492784 455785494 531749743 539239176 607713992 683678241 718985568 911570988 1063499486 1078478352 1215427984 1367356482 1595249229 1823141976 2126998972 2156956704 2430855968 2734712964 3190498458 3646283952 4253997944 4785747687 5469425928 6380996916 7292567904 8507995888 9571495374 10938851856 12761993832 17015991776 19142990748 21877703712 25523987664 38285981496 51047975328 76571962992 153143925984