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20150235432 = 2333421221587
BaseRepresentation
bin10010110001000011…
…000011000100101000
31221000022020000112000
4102301003003010220
5312231430013212
613131253251000
71312225114035
oct226103030450
957008200460
1020150235432
118600312138
123aa4333a60
131b91859a42
14d9223238c
157ce0451dc
hex4b10c3128

20150235432 has 64 divisors (see below), whose sum is σ = 56106081600. Its totient is φ = 6700760640.

The previous prime is 20150235431. The next prime is 20150235449. The reversal of 20150235432 is 23453205102.

It is a happy number.

20150235432 is a `hidden beast` number, since 201 + 5 + 0 + 23 + 5 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20150235396 and 20150235405.

It is not an unprimeable number, because it can be changed into a prime (20150235431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19858 + ... + 201729.

It is an arithmetic number, because the mean of its divisors is an integer number (876657525).

Almost surely, 220150235432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20150235432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28053040800).

20150235432 is an abundant number, since it is smaller than the sum of its proper divisors (35955846168).

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

20150235432 is a wasteful number, since it uses less digits than its factorization.

20150235432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222023 (or 222013 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 20150235432 in words is "twenty billion, one hundred fifty million, two hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 421 842 1263 1684 2526 3368 3789 5052 7578 10104 11367 15156 22734 30312 45468 90936 221587 443174 664761 886348 1329522 1772696 1994283 2659044 3988566 5318088 5982849 7977132 11965698 15954264 23931396 47862792 93288127 186576254 279864381 373152508 559728762 746305016 839593143 1119457524 1679186286 2238915048 2518779429 3358372572 5037558858 6716745144 10075117716 20150235432