Search a number
-
+
57658337980 = 225172231792423
BaseRepresentation
bin110101101100101101…
…000110101010111100
312111211022100001100021
4311230231012222330
51421041013303410
642253214141524
74110553533505
oct655455065274
9174738301307
1057658337980
11224a86a07a1
12b2117b18a4
13558b588b69
142b0d89bbac
151776da1eda
hexd6cb46abc

57658337980 has 144 divisors (see below), whose sum is σ = 135021841920. Its totient is φ = 20638385152.

The previous prime is 57658337977. The next prime is 57658338013. The reversal of 57658337980 is 8973385675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23795049 + ... + 23797471.

It is an arithmetic number, because the mean of its divisors is an integer number (937651680).

Almost surely, 257658337980 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 57658337980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67510920960).

57658337980 is an abundant number, since it is smaller than the sum of its proper divisors (77363503940).

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

57658337980 is a wasteful number, since it uses less digits than its factorization.

57658337980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 57658337980 in words is "fifty-seven billion, six hundred fifty-eight million, three hundred thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 179 230 289 340 358 391 460 578 716 782 895 1156 1445 1564 1790 1955 2423 2890 3043 3580 3910 4117 4846 5780 6086 6647 7820 8234 9692 12115 12172 13294 15215 16468 20585 24230 26588 30430 33235 41170 41191 48460 51731 55729 60860 66470 69989 82340 82382 103462 111458 132940 139978 164764 205955 206924 222916 258655 278645 279956 349945 411910 433717 517310 557290 699890 700247 823820 867434 947393 1034620 1114580 1189813 1399780 1400494 1734868 1894786 2168585 2379626 2800988 3501235 3789572 4337170 4736965 4759252 5949065 7002470 7373189 8674340 9473930 9975491 11898130 14004940 14746378 16105681 18947860 19950982 23796260 29492756 32211362 36865945 39901964 49877455 64422724 73731890 80528405 99754910 125344213 147463780 161056810 169583347 199509820 250688426 322113620 339166694 501376852 626721065 678333388 847916735 1253442130 1695833470 2506884260 2882916899 3391666940 5765833798 11531667596 14414584495 28829168990 57658337980