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1970014464 = 28321177731
BaseRepresentation
bin111010101101100…
…0000100100000000
312002021221002210200
41311123000210000
513013310430324
6523252125200
766550563255
oct16533004400
95067832720
101970014464
11921027030
1246b906800
132551a8b42
141498d142c
15b7e3cec9
hex756c0900

1970014464 has 108 divisors (see below), whose sum is σ = 6196484112. Its totient is φ = 596966400.

The previous prime is 1970014439. The next prime is 1970014477. The reversal of 1970014464 is 4644100791.

1970014464 is a `hidden beast` number, since 197 + 0 + 0 + 1 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 13522 + ... + 64209.

Almost surely, 21970014464 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 1970014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098242056).

1970014464 is an abundant number, since it is smaller than the sum of its proper divisors (4226469648).

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

1970014464 is a wasteful number, since it uses less digits than its factorization.

1970014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77764 (or 77747 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1970014464 is about 44384.8449811419. The cubic root of 1970014464 is about 1253.5927494810.

The spelling of 1970014464 in words is "one billion, nine hundred seventy million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 77731 155462 233193 310924 466386 621848 699579 855041 932772 1243696 1399158 1710082 1865544 2487392 2565123 2798316 3420164 3731088 4974784 5130246 5596632 6840328 7462176 7695369 9949568 10260492 11193264 13680656 14924352 15390738 19899136 20520984 22386528 27361312 29848704 30781476 41041968 44773056 54722624 59697408 61562952 82083936 89546112 109445248 123125904 164167872 179092224 218890496 246251808 328335744 492503616 656671488 985007232 1970014464