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1426964616 = 2332711223399
BaseRepresentation
bin101010100001101…
…1100000010001000
310200110002022110100
41111003130002020
510410300331431
6353332445400
750234666460
oct12503340210
93613068410
101426964616
11672536700
12339a79860
1319982cc7c
14d7730ba0
158541e4e6
hex550dc088

1426964616 has 144 divisors (see below), whose sum is σ = 4855032000. Its totient is φ = 370624320.

The previous prime is 1426964579. The next prime is 1426964639. The reversal of 1426964616 is 6164696241.

It is a happy number.

1426964616 is a `hidden beast` number, since 1 + 4 + 26 + 9 + 6 + 4 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49285 + ... + 72683.

It is an arithmetic number, because the mean of its divisors is an integer number (33715500).

Almost surely, 21426964616 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 1426964616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427516000).

1426964616 is an abundant number, since it is smaller than the sum of its proper divisors (3428067384).

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

1426964616 is a wasteful number, since it uses less digits than its factorization.

1426964616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23440 (or 23422 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1426964616 is about 37775.1851881629. The cubic root of 1426964616 is about 1125.8254658721.

The spelling of 1426964616 in words is "one billion, four hundred twenty-six million, nine hundred sixty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2541 2772 2904 3388 4356 5082 5544 6776 7623 8712 10164 15246 20328 23399 30492 46798 60984 70197 93596 140394 163793 187192 210591 257389 280788 327586 421182 491379 514778 561576 655172 772167 842364 982758 1029556 1310344 1474137 1544334 1684728 1801723 1965516 2059112 2316501 2831279 2948274 3088668 3603446 3931032 4633002 5405169 5662558 5896548 6177336 7206892 8493837 9266004 10810338 11325116 11793096 14413784 16215507 16987674 18532008 19818953 21620676 22650232 25481511 32431014 33975348 39637906 43241352 50963022 59456859 64862028 67950696 79275812 101926044 118913718 129724056 158551624 178370577 203852088 237827436 356741154 475654872 713482308 1426964616