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153402421536 = 25347213531753
BaseRepresentation
bin1000111011011101111…
…1110011000100100000
3112122221212201102210000
42032313133303010200
510003132004442121
6154245550140000
714040312032400
oct2166737630440
9478855642700
10153402421536
115a06a738881
12258921b1600
1311609442540
1475d35cc800
153ecc664526
hex23b77f3120

153402421536 has 720 divisors, whose sum is σ = 576172014264. Its totient is φ = 39671783424.

The previous prime is 153402421531. The next prime is 153402421553. The reversal of 153402421536 is 635124204351.

153402421536 is a `hidden beast` number, since 1 + 5 + 3 + 402 + 4 + 215 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77259537936 + 76142883600 = 277956^2 + 275940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 153402421536.

It is not an unprimeable number, because it can be changed into a prime (153402421531) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87507636 + ... + 87509388.

Almost surely, 2153402421536 is an apocalyptic number.

153402421536 is a gapful number since it is divisible by the number (16) 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 153402421536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288086007132).

153402421536 is an abundant number, since it is smaller than the sum of its proper divisors (422769592728).

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

153402421536 is a wasteful number, since it uses less digits than its factorization.

153402421536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 153402421536 its reverse (635124204351), we get a palindrome (788526625887).

The spelling of 153402421536 in words is "one hundred fifty-three billion, four hundred two million, four hundred twenty-one thousand, five hundred thirty-six".