Search a number
-
+
5457884068 = 227133172307
BaseRepresentation
bin1010001010101000…
…01011001110100100
3112002100222020102101
411011110023032210
542134204242233
62301325221444
7252152151310
oct50524131644
915070866371
105457884068
11235091909a
121083a01884
1368c989000
1439ac12b40
1521e250c7d
hex14550b3a4

5457884068 has 144 divisors (see below), whose sum is σ = 12602423680. Its totient is φ = 2025533952.

The previous prime is 5457884063. The next prime is 5457884123. The reversal of 5457884068 is 8604887545.

It is not an unprimeable number, because it can be changed into a prime (5457884063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17777971 + ... + 17778277.

Almost surely, 25457884068 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 5457884068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301211840).

5457884068 is an abundant number, since it is smaller than the sum of its proper divisors (7144539612).

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

5457884068 is a wasteful number, since it uses less digits than its factorization.

5457884068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

The square root of 5457884068 is about 73877.4936499608. The cubic root of 5457884068 is about 1760.6570450561.

The spelling of 5457884068 in words is "five billion, four hundred fifty-seven million, eight hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 169 182 221 238 289 307 338 364 442 476 578 614 676 884 1156 1183 1228 1547 2023 2149 2197 2366 2873 3094 3757 3991 4046 4298 4394 4732 5219 5746 6188 7514 7982 8092 8596 8788 10438 11492 15028 15379 15964 20111 20876 26299 27937 30758 36533 37349 40222 48841 51883 52598 55874 61516 67847 73066 74698 80444 88723 97682 103766 105196 111748 135694 146132 149396 177446 195364 207532 261443 271388 341887 354892 363181 474929 522886 621061 634933 674479 683774 726362 882011 949858 1045772 1153399 1242122 1269866 1348958 1367548 1452724 1764022 1899716 2306798 2484244 2539732 2697916 3528044 4444531 4613596 4721353 6174077 8073793 8889062 9442706 11466143 12348154 14994187 16147586 17778124 18885412 22932286 24696308 29988374 32295172 45864572 59976748 80263001 104959309 160526002 194924431 209918618 321052004 389848862 419837236 779697724 1364471017 2728942034 5457884068