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213625012032 = 2632739501863
BaseRepresentation
bin1100011011110100001…
…0101111111101000000
3202102101220011000021200
43012331002233331000
512000001000341112
6242045445221200
721301553433105
oct3067502577500
9672356130250
10213625012032
1182663828423
123549a701800
13171b6036283
14a4a7864aac
1558546d4cdc
hex31bd0aff40

213625012032 has 84 divisors (see below), whose sum is σ = 613147323360. Its totient is φ = 71111837952.

The previous prime is 213625012019. The next prime is 213625012039. The reversal of 213625012032 is 230210526312.

It is a happy number.

213625012032 is a `hidden beast` number, since 2 + 1 + 3 + 625 + 0 + 1 + 2 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213625011987 and 213625012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213625012039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174733 + ... + 676595.

Almost surely, 2213625012032 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 213625012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306573661680).

213625012032 is an abundant number, since it is smaller than the sum of its proper divisors (399522311328).

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

213625012032 is a wasteful number, since it uses less digits than its factorization.

213625012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502620 (or 502607 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 213625012032 its reverse (230210526312), we get a palindrome (443835538344).

The spelling of 213625012032 in words is "two hundred thirteen billion, six hundred twenty-five million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 739 1478 2217 2956 4434 5912 6651 8868 11824 13302 17736 23648 26604 35472 47296 53208 70944 106416 141888 212832 425664 501863 1003726 1505589 2007452 3011178 4014904 4516767 6022356 8029808 9033534 12044712 16059616 18067068 24089424 32119232 36134136 48178848 72268272 96357696 144536544 289073088 370876757 741753514 1112630271 1483507028 2225260542 2967014056 3337890813 4450521084 5934028112 6675781626 8901042168 11868056224 13351563252 17802084336 23736112448 26703126504 35604168672 53406253008 71208337344 106812506016 213625012032