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75628228434 = 231129200319727
BaseRepresentation
bin100011001101111001…
…0110010111101010010
321020012122212001211120
41012123302302331102
52214341311302214
654424303223110
75315065222623
oct1063362627522
9236178761746
1075628228434
112a08a188430
12127a78a7a96
1371934a6635
1439362cba4a
151e797adea9
hex119bcb2f52

75628228434 has 64 divisors (see below), whose sum is σ = 170790819840. Its totient is φ = 22115213120.

The previous prime is 75628228427. The next prime is 75628228439. The reversal of 75628228434 is 43482282657.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75628228439) 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, 3823879 + ... + 3843605.

It is an arithmetic number, because the mean of its divisors is an integer number (2668606560).

Almost surely, 275628228434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75628228434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85395409920).

75628228434 is an abundant number, since it is smaller than the sum of its proper divisors (95162591406).

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

75628228434 is a wasteful number, since it uses less digits than its factorization.

75628228434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21775.

The product of its digits is 5160960, while the sum is 51.

The spelling of 75628228434 in words is "seventy-five billion, six hundred twenty-eight million, two hundred twenty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 2003 4006 6009 12018 19727 22033 39454 44066 58087 59181 66099 116174 118362 132198 174261 216997 348522 433994 572083 638957 650991 1144166 1277914 1301982 1716249 1916871 3432498 3833742 6292913 12585826 18878739 37757478 39513181 79026362 118539543 237079086 434644991 869289982 1145882249 1303934973 2291764498 2607869946 3437646747 6875293494 12604704739 25209409478 37814114217 75628228434