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5426431616 = 271912717569
BaseRepresentation
bin1010000110111000…
…01100011010000000
3112000011210021202202
411003130030122000
542103131302431
62254243132332
7251320623224
oct50334143200
915004707682
105426431616
112335096431
1210753740a8
136862c5ba8
14396986784
1521b5db8cb
hex14370c680

5426431616 has 64 divisors (see below), whose sum is σ = 11469696000. Its totient is φ = 2550030336.

The previous prime is 5426431609. The next prime is 5426431651. The reversal of 5426431616 is 6161346245.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 5426431616.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300080 + ... + 317648.

It is an arithmetic number, because the mean of its divisors is an integer number (179214000).

Almost surely, 25426431616 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 5426431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734848000).

5426431616 is an abundant number, since it is smaller than the sum of its proper divisors (6043264384).

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

5426431616 is a wasteful number, since it uses less digits than its factorization.

5426431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17729 (or 17717 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 5426431616 is about 73664.3171148691. The cubic root of 5426431616 is about 1757.2684487275.

The spelling of 5426431616 in words is "five billion, four hundred twenty-six million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 128 152 254 304 508 608 1016 1216 2032 2413 2432 4064 4826 8128 9652 16256 17569 19304 35138 38608 70276 77216 140552 154432 281104 308864 333811 562208 667622 1124416 1335244 2231263 2248832 2670488 4462526 5340976 8925052 10681952 17850104 21363904 35700208 42393997 42727808 71400416 84787994 142800832 169575988 285601664 339151976 678303952 1356607904 2713215808 5426431616