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1964984994 = 2357836959
BaseRepresentation
bin111010100011111…
…0100101010100010
312001221110120200000
41311013310222202
513011014004434
6522552240430
766460045140
oct16507645242
95057416600
101964984994
11919201345
1246a0a0116
1325413781b
14148d82590
15b7797b99
hex751f4aa2

1964984994 has 96 divisors (see below), whose sum is σ = 5107415040. Its totient is φ = 554580432.

The previous prime is 1964984993. The next prime is 1964985023. The reversal of 1964984994 is 4994894691.

1964984994 is a `hidden beast` number, since 19 + 6 + 498 + 49 + 94 = 666.

It is a super-2 number, since 2×19649849942 = 7722332053290360072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1964984993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278887 + ... + 285845.

It is an arithmetic number, because the mean of its divisors is an integer number (53202240).

Almost surely, 21964984994 is an apocalyptic number.

1964984994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964984994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553707520).

1964984994 is an abundant number, since it is smaller than the sum of its proper divisors (3142430046).

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

1964984994 is an equidigital number, since it uses as much as digits as its factorization.

1964984994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7054 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 1964984994 is about 44328.1512585400. The cubic root of 1964984994 is about 1252.5250280057.

The spelling of 1964984994 in words is "one billion, nine hundred sixty-four million, nine hundred eighty-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 83 126 162 166 189 243 249 378 486 498 567 581 747 1134 1162 1494 1701 1743 2241 3402 3486 4482 5229 6723 6959 10458 13446 13918 15687 20169 20877 31374 40338 41754 47061 48713 62631 94122 97426 125262 141183 146139 187893 282366 292278 375786 438417 563679 577597 876834 1127358 1155194 1315251 1691037 1732791 2630502 3382074 3465582 3945753 4043179 5198373 7891506 8086358 10396746 11837259 12129537 15595119 23674518 24259074 31190238 36388611 46785357 72777222 93570714 109165833 140356071 218331666 280712142 327497499 654994998 982492497 1964984994