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5464608468 = 22311193795749
BaseRepresentation
bin1010001011011011…
…10100111011010100
3112002211121212120020
411011231310323110
542142414432333
62302125305140
7252263256054
oct50555647324
915084555506
105464608468
1123546a1250
1210861051b0
136911a1947
1439ba83564
1521eb2d3b3
hex145b74ed4

5464608468 has 96 divisors (see below), whose sum is σ = 14683200000. Its totient is φ = 1564375680.

The previous prime is 5464608463. The next prime is 5464608491. The reversal of 5464608468 is 8648064645.

It is a self number, because there is not a number n which added to its sum of digits gives 5464608468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5464608463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947658 + ... + 953406.

It is an arithmetic number, because the mean of its divisors is an integer number (152950000).

Almost surely, 25464608468 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 5464608468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341600000).

5464608468 is an abundant number, since it is smaller than the sum of its proper divisors (9218591532).

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

5464608468 is a wasteful number, since it uses less digits than its factorization.

5464608468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The square root of 5464608468 is about 73922.9901180952. The cubic root of 5464608468 is about 1761.3798223065.

The spelling of 5464608468 in words is "five billion, four hundred sixty-four million, six hundred eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 379 418 627 758 836 1137 1254 1516 2274 2508 4169 4548 5749 7201 8338 11498 12507 14402 16676 17247 21603 22996 25014 28804 34494 43206 50028 63239 68988 79211 86412 109231 126478 158422 189717 218462 237633 252956 316844 327693 379434 436924 475266 655386 758868 950532 1201541 1310772 2178871 2403082 3604623 4357742 4806164 6536613 7209246 8715484 13073226 14418492 23967581 26146452 41398549 47935162 71902743 82797098 95870324 124195647 143805486 165594196 248391294 287610972 455384039 496782588 910768078 1366152117 1821536156 2732304234 5464608468