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152679066840 = 233251922321501
BaseRepresentation
bin1000111000110001100…
…0011010110011011000
3112121002110121012200100
42032030120122303120
510000141320114330
6154050110135400
714013346440516
oct2161430326330
9477073535610
10152679066840
1159829397783
122570bab1560
1311522616b01
1475654d54b6
153e88dcc060
hex238c61acd8

152679066840 has 96 divisors (see below), whose sum is σ = 522323146800. Its totient is φ = 38571552000.

The previous prime is 152679066779. The next prime is 152679066847. The reversal of 152679066840 is 48660976251.

152679066840 is a `hidden beast` number, since 1 + 526 + 79 + 0 + 6 + 6 + 8 + 40 = 666.

It is a super-2 number, since 2×1526790668402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152679066847) by changing a digit.

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, 11153911 + ... + 11167590.

Almost surely, 2152679066840 is an apocalyptic number.

152679066840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152679066840 is an abundant number, since it is smaller than the sum of its proper divisors (369644079960).

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

152679066840 is a wasteful number, since it uses less digits than its factorization.

152679066840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22321537 (or 22321530 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 152679066840 in words is "one hundred fifty-two billion, six hundred seventy-nine million, sixty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 22321501 44643002 66964503 89286004 111607505 133929006 178572008 200893509 223215010 267858012 334822515 401787018 424108519 446430020 535716024 669645030 803574036 848217038 892860040 1004467545 1272325557 1339290060 1607148072 1696434076 2008935090 2120542595 2544651114 2678580120 3392868152 3816976671 4017870180 4241085190 5089302228 6361627785 7633953342 8035740360 8482170380 10178604456 12723255570 15267906684 16964340760 19084883355 25446511140 30535813368 38169766710 50893022280 76339533420 152679066840