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4966214976 = 26344012389
BaseRepresentation
bin1001010000000001…
…00110110101000000
3110211002210212020000
410220000212311000
540132322334401
62140443120000
7234032062602
oct45000466500
913732725200
104966214976
1121193318a8
12b67213000
13611b5cb58
143517c9172
151e0ed1186
hex128026d40

4966214976 has 140 divisors (see below), whose sum is σ = 14764306260. Its totient is φ = 1650585600.

The previous prime is 4966214971. The next prime is 4966215011. The reversal of 4966214976 is 6794126694.

It is a happy number.

4966214976 is a `hidden beast` number, since 4 + 9 + 6 + 621 + 4 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3443342400 + 1522872576 = 58680^2 + 39024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4966214971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2077590 + ... + 2079978.

Almost surely, 24966214976 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 4966214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382153130).

4966214976 is an abundant number, since it is smaller than the sum of its proper divisors (9798091284).

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

4966214976 is a wasteful number, since it uses less digits than its factorization.

4966214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2795 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 4966214976 is about 70471.3769980408. The cubic root of 4966214976 is about 1706.1158006758.

The spelling of 4966214976 in words is "four billion, nine hundred sixty-six million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 401 432 576 648 802 864 1203 1296 1604 1728 2389 2406 2592 3208 3609 4778 4812 5184 6416 7167 7218 9556 9624 10827 12832 14334 14436 19112 19248 21501 21654 25664 28668 28872 32481 38224 38496 43002 43308 57336 57744 64503 64962 76448 76992 86004 86616 114672 115488 129006 129924 152896 172008 173232 193509 229344 230976 258012 259848 344016 346464 387018 458688 516024 519696 688032 692928 774036 957989 1032048 1039392 1376064 1548072 1915978 2064096 2078784 2873967 3096144 3831956 4128192 5747934 6192288 7663912 8621901 11495868 12384576 15327824 17243802 22991736 25865703 30655648 34487604 45983472 51731406 61311296 68975208 77597109 91966944 103462812 137950416 155194218 183933888 206925624 275900832 310388436 413851248 551801664 620776872 827702496 1241553744 1655404992 2483107488 4966214976