Search a number
-
+
2913390864 = 2432231078221
BaseRepresentation
bin1010110110100110…
…1101000100010000
321112001001120221100
42231221231010100
521431312001424
61201032024400
7132124261626
oct25551550420
97461046840
102913390864
11126559574a
12693832100
1337577bb27
141d8cdd516
15120b86dc9
hexada6d110

2913390864 has 120 divisors (see below), whose sum is σ = 8588503872. Its totient is φ = 920113920.

The previous prime is 2913390853. The next prime is 2913390871. The reversal of 2913390864 is 4680933192.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350274 + ... + 358494.

Almost surely, 22913390864 is an apocalyptic number.

2913390864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2913390864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294251936).

2913390864 is an abundant number, since it is smaller than the sum of its proper divisors (5675113008).

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

2913390864 is a wasteful number, since it uses less digits than its factorization.

2913390864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2913390864 is about 53975.8359268293. The cubic root of 2913390864 is about 1428.2347141436.

The spelling of 2913390864 in words is "two billion, nine hundred thirteen million, three hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 107 138 144 184 207 214 276 321 368 414 428 552 642 828 856 963 1104 1284 1656 1712 1926 2461 2568 3312 3852 4922 5136 7383 7704 8221 9844 14766 15408 16442 19688 22149 24663 29532 32884 39376 44298 49326 59064 65768 73989 88596 98652 118128 131536 147978 177192 189083 197304 295956 354384 378166 394608 567249 591912 756332 879647 1134498 1183824 1512664 1701747 1759294 2268996 2638941 3025328 3403494 3518588 4537992 5277882 6806988 7037176 7916823 9075984 10555764 13613976 14074352 15833646 20231881 21111528 27227952 31667292 40463762 42223056 60695643 63334584 80927524 121391286 126669168 161855048 182086929 242782572 323710096 364173858 485565144 728347716 971130288 1456695432 2913390864