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6440778992 = 241979373719
BaseRepresentation
bin1011111111110011…
…00111110011110000
3121121212110110210002
411333321213303300
5101142314411432
62543040125132
7315415501214
oct57771476360
917555413702
106440778992
11280571964a
1212b90067a8
137b84b763b
1445158a944
1527a6a3e62
hex17fe67cf0

6440778992 has 80 divisors (see below), whose sum is σ = 13356288000. Its totient is φ = 3000022272.

The previous prime is 6440778947. The next prime is 6440779019. The reversal of 6440778992 is 2998770446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8957609 + ... + 8958327.

It is an arithmetic number, because the mean of its divisors is an integer number (166953600).

Almost surely, 26440778992 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 6440778992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678144000).

6440778992 is an abundant number, since it is smaller than the sum of its proper divisors (6915509008).

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

6440778992 is a wasteful number, since it uses less digits than its factorization.

6440778992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 56.

The square root of 6440778992 is about 80254.4640004530. The cubic root of 6440778992 is about 1860.5705067683.

The spelling of 6440778992 in words is "six billion, four hundred forty million, seven hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 373 632 719 746 1264 1438 1492 1501 2876 2984 3002 5752 5968 6004 7087 11504 12008 13661 14174 24016 27322 28348 29467 54644 56696 56801 58934 109288 113392 113602 117868 218576 227204 235736 268187 454408 471472 536374 559873 908816 1072748 1079219 1119746 2145496 2158438 2239492 4290992 4316876 4478984 5095553 8633752 8957968 10191106 17267504 20382212 21186773 40764424 42373546 81528848 84747092 169494184 338988368 402548687 805097374 1610194748 3220389496 6440778992