Search a number
-
+
5314684416 = 29343671201
BaseRepresentation
bin1001111001100011…
…11010011000000000
3111201101111221102120
410330301322120000
541341024400131
62235212044240
7245463033516
oct47461723000
914641457376
105314684416
112288001078
121043a63680
136690cb4a2
14385bb84b6
152118b6496
hex13cc7a600

5314684416 has 160 divisors (see below), whose sum is σ = 14716403328. Its totient is φ = 1703116800.

The previous prime is 5314684399. The next prime is 5314684421. The reversal of 5314684416 is 6144864135.

It is a super-2 number, since 2×53146844162 = 56491740883346522112, which contains 22 as substring.

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, 4424616 + ... + 4425816.

Almost surely, 25314684416 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 5314684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358201664).

5314684416 is an abundant number, since it is smaller than the sum of its proper divisors (9401718912).

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

5314684416 is a wasteful number, since it uses less digits than its factorization.

5314684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1316 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 5314684416 is about 72901.8821156217. The cubic root of 5314684416 is about 1745.1221350572.

The spelling of 5314684416 in words is "five billion, three hundred fourteen million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 67 86 96 128 129 134 172 192 201 256 258 268 344 384 402 512 516 536 688 768 804 1032 1072 1201 1376 1536 1608 2064 2144 2402 2752 2881 3216 3603 4128 4288 4804 5504 5762 6432 7206 8256 8576 8643 9608 11008 11524 12864 14412 16512 17152 17286 19216 22016 23048 25728 28824 33024 34304 34572 38432 46096 51456 51643 57648 66048 69144 76864 80467 92192 102912 103286 115296 138288 153728 154929 160934 184384 206572 230592 241401 276576 307456 309858 321868 368768 413144 461184 482802 553152 614912 619716 643736 737536 826288 922368 965604 1106304 1239432 1287472 1475072 1652576 1844736 1931208 2212608 2478864 2574944 3305152 3460081 3862416 4425216 4957728 5149888 6610304 6920162 7724832 9915456 10299776 10380243 13220608 13840324 15449664 19830912 20599552 20760486 26441216 27680648 30899328 39661824 41199104 41520972 55361296 61798656 79323648 83041944 110722592 123597312 166083888 221445184 332167776 442890368 664335552 885780736 1328671104 1771561472 2657342208 5314684416