Search a number
-
+
6402477978 = 235131636217
BaseRepresentation
bin1011111011001111…
…00000111110011010
3121112012101120200000
411331213200332122
5101103013243403
62535151153430
7314442110361
oct57547407632
917465346600
106402477978
112796039516
1212a8215876
137b0597210
1444a45a7d8
1527713a7a3
hex17d9e0f9a

6402477978 has 96 divisors (see below), whose sum is σ = 15589968576. Its totient is φ = 1957592448.

The previous prime is 6402477953. The next prime is 6402477997. The reversal of 6402477978 is 8797742046.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026726 + ... + 1032942.

It is an arithmetic number, because the mean of its divisors is an integer number (162395506).

Almost surely, 26402477978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6402477978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794984288).

6402477978 is an abundant number, since it is smaller than the sum of its proper divisors (9187490598).

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

6402477978 is a wasteful number, since it uses less digits than its factorization.

6402477978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 6402477978 is about 80015.4858636752. The cubic root of 6402477978 is about 1856.8751224222.

The spelling of 6402477978 in words is "six billion, four hundred two million, four hundred seventy-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 163 234 243 326 351 486 489 702 978 1053 1467 2106 2119 2934 3159 4238 4401 6217 6318 6357 8802 12434 12714 13203 18651 19071 26406 37302 38142 39609 55953 57213 79218 80821 111906 114426 161642 167859 171639 242463 335718 343278 484926 503577 514917 727389 1007154 1013371 1029834 1454778 1510731 2026742 2182167 3021462 3040113 4364334 6080226 6546501 9120339 13093002 13173823 18240678 19639503 26347646 27361017 39279006 39521469 54722034 79042938 82083051 118564407 164166102 237128814 246249153 355693221 492498306 711386442 1067079663 2134159326 3201238989 6402477978