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3980842704 = 2432193227631
BaseRepresentation
bin1110110101000110…
…1101011011010000
3101021102122202120200
43231101231123100
531123043431304
61455003135200
7200435414256
oct35521553320
911242582520
103980842704
11176309a053
12931214500
134b5974a37
1429a9a85d6
1518473de39
hexed46d6d0

3980842704 has 120 divisors (see below), whose sum is σ = 11265713472. Its totient is φ = 1312174080.

The previous prime is 3980842687. The next prime is 3980842727. The reversal of 3980842704 is 4072480893.

It is a self number, because there is not a number n which added to its sum of digits gives 3980842704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6308469 + ... + 6309099.

Almost surely, 23980842704 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 3980842704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632856736).

3980842704 is an abundant number, since it is smaller than the sum of its proper divisors (7284870768).

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

3980842704 is a wasteful number, since it uses less digits than its factorization.

3980842704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3980842704 is about 63093.9197070526. The cubic root of 3980842704 is about 1584.8628028274.

The spelling of 3980842704 in words is "three billion, nine hundred eighty million, eight hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 227 386 454 579 631 681 772 908 1158 1262 1362 1544 1737 1816 1893 2043 2316 2524 2724 3088 3474 3632 3786 4086 4632 5048 5448 5679 6948 7572 8172 9264 10096 10896 11358 13896 15144 16344 22716 27792 30288 32688 43811 45432 87622 90864 121783 131433 143237 175244 243566 262866 286474 350488 365349 394299 429711 487132 525732 572948 700976 730698 788598 859422 974264 1051464 1096047 1145896 1289133 1461396 1577196 1718844 1948528 2102928 2192094 2291792 2578266 2922792 3154392 3437688 4384188 5156532 5845584 6308784 6875376 8768376 10313064 17536752 20626128 27644741 55289482 82934223 110578964 165868446 221157928 248802669 331736892 442315856 497605338 663473784 995210676 1326947568 1990421352 3980842704