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203433420432 = 243111973277787
BaseRepresentation
bin1011110101110110010…
…0111010011010010000
3201110002121212111220010
42331131210322122100
511313112423423212
6233242300114520
720461161354054
oct2753544723220
9643077774803
10203433420432
1179303953850
1233515535a40
1316250746ab8
149bbc0abc64
155459ace03c
hex2f5d93a690

203433420432 has 160 divisors (see below), whose sum is σ = 611755845120. Its totient is φ = 57601704960.

The previous prime is 203433420403. The next prime is 203433420433. The reversal of 203433420432 is 234024334302.

It is a self number, because there is not a number n which added to its sum of digits gives 203433420432.

It is not an unprimeable number, because it can be changed into a prime (203433420433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593443 + ... + 871229.

It is an arithmetic number, because the mean of its divisors is an integer number (3823474032).

Almost surely, 2203433420432 is an apocalyptic number.

203433420432 is a gapful number since it is divisible by the number (22) 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 203433420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305877922560).

203433420432 is an abundant number, since it is smaller than the sum of its proper divisors (408322424688).

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

203433420432 is a wasteful number, since it uses less digits than its factorization.

203433420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277901 (or 277895 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 203433420432 its reverse (234024334302), we get a palindrome (437457754734).

The spelling of 203433420432 in words is "two hundred three billion, four hundred thirty-three million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 73 76 88 114 132 146 152 176 209 219 228 264 292 304 418 438 456 528 584 627 803 836 876 912 1168 1254 1387 1606 1672 1752 2409 2508 2774 3212 3344 3504 4161 4818 5016 5548 6424 8322 9636 10032 11096 12848 15257 16644 19272 22192 30514 33288 38544 45771 61028 66576 91542 122056 183084 244112 277787 366168 555574 732336 833361 1111148 1666722 2222296 3055657 3333444 4444592 5277953 6111314 6666888 9166971 10555906 12222628 13333776 15833859 18333942 20278451 21111812 24445256 31667718 36667884 40556902 42223624 48890512 58057483 60835353 63335436 73335768 81113804 84447248 116114966 121670706 126670872 146671536 162227608 174172449 223062961 232229932 243341412 253341744 324455216 348344898 385290569 446125922 464459864 486682824 669188883 696689796 770581138 892251844 928919728 973365648 1155871707 1338377766 1393379592 1541162276 1784503688 2311743414 2676755532 2786759184 3082324552 3569007376 4238196259 4623486828 5353511064 6164649104 8476392518 9246973656 10707022128 12714588777 16952785036 18493947312 25429177554 33905570072 50858355108 67811140144 101716710216 203433420432