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200354411432 = 23729379325517
BaseRepresentation
bin1011101010011000001…
…1011011001110101000
3201011011001011122120202
42322212003123032220
511240311212131212
6232012550211332
720321653253330
oct2724603331650
9634131148522
10200354411432
1177a7392980a
12329b6353b48
1315b7c88b296
1499a91ba0c0
1553296300c2
hex2ea60db3a8

200354411432 has 64 divisors (see below), whose sum is σ = 445308624000. Its totient is φ = 82686272256.

The previous prime is 200354411423. The next prime is 200354411443. The reversal of 200354411432 is 234114453002.

200354411432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 200354411395 and 200354411404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452738 + ... + 778254.

It is an arithmetic number, because the mean of its divisors is an integer number (6957947250).

Almost surely, 2200354411432 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 200354411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222654312000).

200354411432 is an abundant number, since it is smaller than the sum of its proper divisors (244954212568).

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

200354411432 is a wasteful number, since it uses less digits than its factorization.

200354411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325938 (or 325934 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 200354411432 its reverse (234114453002), we get a palindrome (434468864434).

The spelling of 200354411432 in words is "two hundred billion, three hundred fifty-four million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 379 406 758 812 1516 1624 2653 3032 5306 10612 10991 21224 21982 43964 76937 87928 153874 307748 325517 615496 651034 1302068 2278619 2604136 4557238 9114476 9439993 18228952 18879986 37759972 66079951 75519944 123370943 132159902 246741886 264319804 493483772 528639608 863596601 986967544 1727193202 3454386404 3577757347 6908772808 7155514694 14311029388 25044301429 28622058776 50088602858 100177205716 200354411432