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152432654640 = 2435790733723
BaseRepresentation
bin1000110111110110110…
…0011011100100110000
3112120110021221011200120
42031331230123210300
54444140224422030
6154005424450240
714004265120560
oct2157554334460
9476407834616
10152432654640
1159712294632
1225661479980
13114b355c486
1475408b0da0
153e72456010
hex237db1b930

152432654640 has 80 divisors (see below), whose sum is σ = 540047125248. Its totient is φ = 34841749248.

The previous prime is 152432654573. The next prime is 152432654771. The reversal of 152432654640 is 46456234251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 152432654592 and 152432654601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45365182 + ... + 45368541.

Almost surely, 2152432654640 is an apocalyptic number.

152432654640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152432654640 is an abundant number, since it is smaller than the sum of its proper divisors (387614470608).

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

152432654640 is a wasteful number, since it uses less digits than its factorization.

152432654640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90733746 (or 90733740 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 152432654640 its reverse (46456234251), we get a palindrome (198888888891).

The spelling of 152432654640 in words is "one hundred fifty-two billion, four hundred thirty-two million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 90733723 181467446 272201169 362934892 453668615 544402338 635136061 725869784 907337230 1088804676 1270272122 1361005845 1451739568 1814674460 1905408183 2177609352 2540544244 2722011690 3175680305 3629348920 3810816366 4355218704 5081088488 5444023380 6351360610 7258697840 7621632732 9527040915 10162176976 10888046760 12702721220 15243265464 19054081830 21776093520 25405442440 30486530928 38108163660 50810884880 76216327320 152432654640