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5442691464 = 2332722953197
BaseRepresentation
bin1010001000110100…
…01110000110001000
3112001022101101002100
411010122032012020
542121312111324
62300023433400
7251606054100
oct50432160610
915038341070
105442691464
112343291721
12107a8b5860
13689799ac2
14398bba200
1521cc4e4c9
hex14468e188

5442691464 has 144 divisors (see below), whose sum is σ = 17738873100. Its totient is φ = 1501403904.

The previous prime is 5442691439. The next prime is 5442691537. The reversal of 5442691464 is 4641962445.

5442691464 is a `hidden beast` number, since 5 + 442 + 69 + 146 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5371424100 + 71267364 = 73290^2 + 8442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75714 + ... + 128910.

Almost surely, 25442691464 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 5442691464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869436550).

5442691464 is an abundant number, since it is smaller than the sum of its proper divisors (12296181636).

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

5442691464 is a wasteful number, since it uses less digits than its factorization.

5442691464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53252 (or 53238 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 5442691464 is about 73774.5990433022. The cubic root of 5442691464 is about 1759.0218678262.

The spelling of 5442691464 in words is "five billion, four hundred forty-two million, six hundred ninety-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 1044 1176 1218 1421 1624 1764 1827 2088 2436 2842 3528 3654 4263 4872 5684 7308 8526 11368 12789 14616 17052 25578 34104 51156 53197 102312 106394 159591 212788 319182 372379 425576 478773 638364 744758 957546 1117137 1276728 1489516 1542713 1915092 2234274 2606653 2979032 3085426 3351411 3830184 4468548 4628139 5213306 6170852 6702822 7819959 8937096 9256278 10426612 10798991 12341704 13405644 13884417 15639918 18512556 20853224 21597982 23459877 26811288 27768834 31279836 32396973 37025112 43195964 46919754 55537668 62559672 64793946 75592937 86391928 93839508 97190919 111075336 129587892 151185874 187679016 194381838 226778811 259175784 302371748 388763676 453557622 604743496 680336433 777527352 907115244 1360672866 1814230488 2721345732 5442691464