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5457031216 = 247613223
BaseRepresentation
bin1010001010100001…
…11011000000110000
3112002022100220112021
411011100323000300
542133444444331
62301255041224
7252142000000
oct50520730060
915068326467
105457031216
11235039635a
121083670214
1368c74aa70
1439aa70000
1521e133211
hex14543b030

5457031216 has 140 divisors (see below), whose sum is σ = 13343576512. Its totient is φ = 2149144704.

The previous prime is 5457031193. The next prime is 5457031219. The reversal of 5457031216 is 6121307545.

It is not an unprimeable number, because it can be changed into a prime (5457031219) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24470881 + ... + 24471103.

Almost surely, 25457031216 is an apocalyptic number.

5457031216 is a gapful number since it is divisible by the number (56) 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 5457031216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671788256).

5457031216 is an abundant number, since it is smaller than the sum of its proper divisors (7886545296).

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

5457031216 is an frugal number, since it uses more digits than its factorization.

5457031216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 5457031216 is about 73871.7213553333. The cubic root of 5457031216 is about 1760.5653331959.

The spelling of 5457031216 in words is "five billion, four hundred fifty-seven million, thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 223 343 364 392 446 637 686 728 784 892 1274 1372 1456 1561 1784 2401 2548 2744 2899 3122 3568 4459 4802 5096 5488 5798 6244 8918 9604 10192 10927 11596 12488 16807 17836 19208 20293 21854 23192 24976 31213 33614 35672 38416 40586 43708 46384 62426 67228 71344 76489 81172 87416 117649 124852 134456 142051 152978 162344 174832 218491 235298 249704 268912 284102 305956 324688 436982 470596 499408 535423 568204 611912 873964 941192 994357 1070846 1136408 1223824 1529437 1747928 1882384 1988714 2141692 2272816 3058874 3495856 3747961 3977428 4283384 6117748 6960499 7495922 7954856 8566768 12235496 13920998 14991844 15909712 24470992 26235727 27841996 29983688 48723493 52471454 55683992 59967376 97446986 104942908 111367984 194893972 209885816 341064451 389787944 419771632 682128902 779575888 1364257804 2728515608 5457031216