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5419315456 = 284321072
BaseRepresentation
bin1010000110000010…
…00011000100000000
3111222200101202020021
411003001003010000
542044321043311
62253430423224
7251203264342
oct50301030400
914880352207
105419315456
112331075a05
121072b01b14
136849a3b49
14395a53292
1521ab83171
hex143043100

5419315456 has 81 divisors (see below), whose sum is σ = 11179351911. Its totient is φ = 2621907456.

The previous prime is 5419315441. The next prime is 5419315501. The reversal of 5419315456 is 6545139145.

The square root of 5419315456 is 73616.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50647755 + ... + 50647861.

Almost surely, 25419315456 is an apocalyptic number.

5419315456 is the 73616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5419315456

5419315456 is an abundant number, since it is smaller than the sum of its proper divisors (5760036455).

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

5419315456 is an frugal number, since it uses more digits than its factorization.

5419315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 152 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The cubic root of 5419315456 is about 1756.4999588235.

The spelling of 5419315456 in words is "five billion, four hundred nineteen million, three hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 107 128 172 214 256 344 428 688 856 1376 1712 1849 2752 3424 3698 4601 5504 6848 7396 9202 11008 11449 13696 14792 18404 22898 27392 29584 36808 45796 59168 73616 91592 118336 147232 183184 197843 236672 294464 366368 395686 473344 492307 588928 732736 791372 984614 1177856 1465472 1582744 1969228 2930944 3165488 3938456 6330976 7876912 12661952 15753824 21169201 25323904 31507648 42338402 50647808 63015296 84676804 126030592 169353608 338707216 677414432 1354828864 2709657728 5419315456