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153438078351360 = 21135112433133067
BaseRepresentation
bin100010111000110100010110…
…001001111011100000000000
3202010021112111111110010000010
4202320310112021323200000
5130102412141024220420
61302200251411024520
744214351422436225
oct4270642611734000
9663245444403003
10153438078351360
11449877a611a300
12152613b1b9b140
1367801c19161aa
1429c662a78194c
1512b14234bb4e0
hex8b8d1627b800

153438078351360 has 1152 divisors, whose sum is σ = 554057028645120. Its totient is φ = 36204175687680.

The previous prime is 153438078351347. The next prime is 153438078351367. The reversal of 153438078351360 is 63153870834351.

It is a super-2 number, since 2×1534380783513602 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153438078351360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153438078351367) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 50028716547 + ... + 50028719613.

It is an arithmetic number, because the mean of its divisors is an integer number (480952281810).

Almost surely, 2153438078351360 is an apocalyptic number.

153438078351360 is a gapful number since it is divisible by the number (10) 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 153438078351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277028514322560).

153438078351360 is an abundant number, since it is smaller than the sum of its proper divisors (400618950293760).

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

153438078351360 is a wasteful number, since it uses less digits than its factorization.

153438078351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 153438078351360 in words is "one hundred fifty-three trillion, four hundred thirty-eight billion, seventy-eight million, three hundred fifty-one thousand, three hundred sixty".