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153582340030 = 2572893521723
BaseRepresentation
bin1000111100001000111…
…0001000011110111110
3112200102102021020112221
42033002032020132332
510004014034340110
6154315454315554
714044625231200
oct2170216103676
9480372236487
10153582340030
115a152255249
12259224b8bba
13116377b82a2
14760d464770
153edd3537da
hex23c23887be

153582340030 has 48 divisors (see below), whose sum is σ = 325195994160. Its totient is φ = 52065138048.

The previous prime is 153582340001. The next prime is 153582340097. The reversal of 153582340030 is 30043285351.

153582340030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1717252 + ... + 1804471.

It is an arithmetic number, because the mean of its divisors is an integer number (6774916545).

Almost surely, 2153582340030 is an apocalyptic number.

153582340030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153582340030 is an abundant number, since it is smaller than the sum of its proper divisors (171613654130).

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

153582340030 is a wasteful number, since it uses less digits than its factorization.

153582340030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521833 (or 3521826 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 153582340030 in words is "one hundred fifty-three billion, five hundred eighty-two million, three hundred forty thousand, thirty".

Divisors: 1 2 5 7 10 14 35 49 70 89 98 178 245 445 490 623 890 1246 3115 4361 6230 8722 21805 43610 3521723 7043446 17608615 24652061 35217230 49304122 123260305 172564427 246520610 313433347 345128854 626866694 862822135 1567166735 1725644270 2194033429 3134333470 4388066858 10970167145 15358234003 21940334290 30716468006 76791170015 153582340030