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20145816252 = 22324137936013
BaseRepresentation
bin10010110000110010…
…001100001010111100
31220222222220111112200
4102300302030022330
5312224312110002
613131014431500
71312142420112
oct226062141274
956888814480
1020145816252
1185a8873a21
123aa2962590
131b90970443
14d91801ab2
157cd970b1c
hex4b0c8c2bc

20145816252 has 72 divisors (see below), whose sum is σ = 52305293040. Its totient is φ = 6534017280.

The previous prime is 20145816241. The next prime is 20145816259. The reversal of 20145816252 is 25261854102.

20145816252 is a `hidden beast` number, since 2 + 0 + 14 + 581 + 62 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145816259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541398 + ... + 577410.

Almost surely, 220145816252 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 20145816252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26152646520).

20145816252 is an abundant number, since it is smaller than the sum of its proper divisors (32159476788).

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

20145816252 is a wasteful number, since it uses less digits than its factorization.

20145816252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36443 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 20145816252 in words is "twenty billion, one hundred forty-five million, eight hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 379 492 738 758 1137 1476 1516 2274 3411 4548 6822 13644 15539 31078 36013 46617 62156 72026 93234 108039 139851 144052 186468 216078 279702 324117 432156 559404 648234 1296468 1476533 2953066 4429599 5906132 8859198 13288797 13648927 17718396 26577594 27297854 40946781 53155188 54595708 81893562 122840343 163787124 245680686 491361372 559606007 1119212014 1678818021 2238424028 3357636042 5036454063 6715272084 10072908126 20145816252